Ann Arbor
93
Purchasing power index · 100 = national avg
- COL index
- 108
- Parent median income
- 70,800 USD
- Sales tax
- ~6%
- Property tax
- ~1.19%
- Income tax
- Taxed
- $100k take-home
- $74,930
Back to calculator
US relocation · 2026
Ann Arbor → 
Billings
At $100,000 gross, you’d need about $87,963 in Billings to match Ann Arbor purchasing power — and same-gross take-home shifts by −$539/year.
By Sammy S. · Founder · AuthorUpdated for 2026
Stronger purchasing power
Billings leads
City COL moves -13 from Ann Arbor (108) to Billings (95). Parent median income delta (Michigan → Montana): −$2,000. At $100,000 gross: equivalent salary ~$87,963; same-gross take-home −$539/year.
Side-by-side city scoreboard
Billings
105
Purchasing power index · 100 = national avg
- COL index
- 95
- Parent median income
- 68,800 USD
- Sales tax
- ~0%
- Property tax
- ~0.61%
- Income tax
- Taxed
- $100k take-home
- $74,391
●Example scenario: $100,000 gross (Single filer, 2026)
Illustrative numbers only—same formulas as the calculator. Take-home rows assume you earn the scenario gross while living in each city (local taxes apply). Below the tables, use “Open calculator — personalize results” to enter your salary, filing status, rent or buy, and more—the full tool uses this same city pair.
Salary & estimated take-home (USD)
| Metric | Ann Arbor, MI | Billings, MT |
|---|---|---|
| Annual gross (scenario) | $100,000 | $100,000 |
| Est. annual take-home | $74,930 | $74,391 |
| Approx. combined tax + payroll burden | 25.1% | 25.6% |
| Take-home difference at same gross | $-539 / yr in Billings vs Ann Arbor | |
| Equivalent gross for same lifestyle (COL-adjusted) | — | $87,963 |
| Change vs scenario gross | — | -12% |
| Est. take-home at equivalent gross | — | $66,603 |
| Burden at equivalent gross | — | 24.3% |
Annual gross (scenario)
Ann Arbor
$100,000
Billings
$100,000
Est. annual take-home
Ann Arbor
$74,930
Billings
$74,391
Approx. combined tax + payroll burden
Ann Arbor
25.1%
Billings
25.6%
Take-home difference at same gross
$-539 / yr in Billings vs Ann Arbor
Equivalent gross for same lifestyle (COL-adjusted)
Billings only
$87,963
Change vs scenario gross
Billings only
-12%
Est. take-home at equivalent gross
Billings only
$66,603
Burden at equivalent gross
Billings only
24.3%
Snapshot: how to read this move ($100,000 scenario)
Monthly take-home at the same gross. At $100,000/year, estimated take-home is about $6,244/mo in Ann Arbor vs $6,199/mo in Billings—roughly $45/mo less in Billings before housing ($539/yr annualized).
Cost of living vs taxes. Our benchmark COL index is 108 for Ann Arbor and 95 for Billings (100 = national average). The destination is about -12% less expensive than the origin for that basket—then state/province and payroll taxes shift take-home further.
Equivalent salary to keep the same lifestyle. To match purchasing power after COL, the model suggests about $87,963/yr gross in Billings (~$7,330/mo), with estimated take-home around $5,550/mo. Versus estimated take-home in Ann Arbor at the scenario gross, that is about -11.1% (by design, equivalent gross targets similar real spending power after COL and taxes; exact match varies with rounding).
Cash after typical 1BR rent (illustrative). Using average 1-bedroom rent in the housing table, roughly $4,744/mo is left after rent in Ann Arbor at the scenario gross vs $5,249/mo in Billings at the same gross. At the equivalent gross in Billings, about $4,600/mo after rent. Typical rent differs by about $550/mo between the two cities in our data.
Figures use the same tax and COL engine as the calculator; your household, deductions, and neighborhood can change outcomes. Use the calculator below for your exact salary and housing choice.
Housing snapshot · average rent · 1-bedroom apartment
| Metric | Ann Arbor, MI | Billings, MT |
|---|---|---|
| Typical monthly rent | $1,500 | $950 |
| Rent as % of scenario gross ($100,000/yr) | 18.0% | 11.4% |
| Rent as % of equivalent gross in Billings | — | 13.0% |
Typical monthly rent
Ann Arbor
$1,500
Billings
$950
Rent as % of scenario gross ($100,000/yr)
Ann Arbor
18.0%
Billings
11.4%
Rent as % of equivalent gross (Billings)
Billings only
13.0%
Rent benchmarks are city-level estimates; neighborhoods vary. Mortgage (buy) and other home sizes are available in the full calculator.
Housing: Ann Arbor → Billings
Approximate median monthly rents for the primary metros in Ann Arbor and Billings. Negative delta means housing is cheaper in Billings. Figures are planning estimates — neighborhoods vary.
1BR rent delta / yr
−$6,600
1BR % of $100k (Ann Arbor)
18%
$1,500/mo
1BR % of $100k (Billings)
11.4%
$950/mo
Property tax (effective)
~1.19% → ~0.61%
Ann Arbor → Billings
At COL-equivalent salary in Billings, 1BR rent is about 13% of gross — vs 11.4% if you keep $100,000 gross.
Apartment rent (monthly)
| Size | Ann Arbor | Billings | Delta / mo |
|---|---|---|---|
| Studio | $1,340 | $780 | −$560 |
| 1 bedroom | $1,500 | $950 | −$550 |
| 2 bedroom | $1,800 | $1,180 | −$620 |
| 3 bedroom | $2,300 | $1,480 | −$820 |
House rent (monthly)
| Size | Ann Arbor | Billings | Delta / mo |
|---|---|---|---|
| 2 bedroom | $1,950 | $1,280 | −$670 |
| 3 bedroom | $2,400 | $1,580 | −$820 |
| 4 bedroom | $3,000 | $1,980 | −$1,020 |
Buy instead? Est. mortgage (3BR house)
Ann Arbor payment
$2,759/mo
Billings payment
$1,816/mo
Payment delta
−$943
Est. purchase price
$518,400 → $341,280
Illustrative P&I only: 20% down, 7% APR, 30-year fixed. Price ≈ annual rent × 18 (price-to-rent). Taxes, insurance, and HOA not included — open the calculator Housing section to adjust.
Sources: approximate metro medians (Zillow / Zumper-style US benchmarks; CMHC-style for Canada). Property tax rates are statewide effective averages. Personalize unit size, rent vs buy, and down payment in the relocation calculator.
Model housing for Ann Arbor → BillingsAnn Arbor vs Billings metrics
City COL plus parent state metrics (Michigan / Montana). Highlighted cells favor the better figure for that metric.
| Metric | Ann Arbor | Billings |
|---|---|---|
| City cost of living index | 108 (100 = avg) | 95 (100 = avg) |
| City purchasing power | 93 | 105 |
| Median household income | 70,800 USD | 68,800 USD |
| State cost of living index | 93.9 (100 = avg) | 105.9 (100 = avg) |
| State purchasing power | 106 | 94 |
| Combined sales tax | ~6% | ~0% |
| Effective property tax | ~1.19% | ~0.61% |
| Unemployment rate | 3.9% | 3% |
| Income growth (YoY) | 3.4% | 3.5% |
| State income tax | Yes | Yes |
Data: Census ACS / Statistics Canada; C2ER / StatCan cost of living. Purchasing power = 10,000 ÷ COL index. Sales and property rates are statewide averages. City COL on this page may differ from the state average.
Take-home by income
Same gross salary in both parent states — after federal tax, state income tax, and FICA. Advantage is take-home in Montana minus Michigan (single filer, standard deduction).
| Gross | Michigan | Montana | Advantage |
|---|---|---|---|
| $50,000 | $40,230 | $40,346 | +$116 |
| $75,000 | $58,405 | $58,216 | −$189 |
| $100,000Headline | $74,930 | $74,391 | −$539 |
| $150,000 | $107,416 | $106,177 | −$1,239 |
| $200,000 | $140,427 | $138,488 | −$1,939 |
At $100k: Michigan keep ~$74,930; Montana keep ~$74,391 (−$539). City COL can change equivalent salary even when state take-home is similar — use the scenario above for metro math.
Why compare salary when moving from Ann Arbor to Billings?
Cost of living and state income tax differ between Ann Arbor, MI and Billings, MT. Here's how equivalent salary and after-tax comparison work, and how to use the relocation calculator for your move.
Equivalent salary and cost of living
Ann Arbor, MI has a cost-of-living index of 108 (100 = national average); Billings, MT has 95. Moving to Billings typically requires a lower gross salary to maintain the same lifestyle, before accounting for state tax differences. An equivalent salary is the amount you'd need in Billings to maintain the same standard of living as in Ann Arbor. Our relocation salary calculator uses city cost-of-living indices and shows equivalent salary plus after-tax take-home.
State tax and after-tax take-home
State income tax varies: nine states have no state income tax (Alaska, Florida, Nevada, New Hampshire, South Dakota, Tennessee, Texas, Washington, Wyoming), while others use flat or progressive rates. So moving from Michigan to Montana can change your after-tax take-home even at the same gross. The calculator applies federal tax plus each state's tax so you see take-home in both places. For a detailed tax breakdown, use our US Tax Calculator.
Key takeaways — Ann Arbor → Billings
- Billings has a city cost-of-living index of 95 vs 108 in Ann Arbor (national average = 100) — about 12% cheaper on our index.
- At $100,000 gross (Single filer), roughly $87,963 in Billings matches Ann Arbor purchasing power (-12% COL-adjusted).
- Keeping the same $100,000 gross, estimated take-home shifts by about −$539/year (Ann Arbor → Billings) after federal, state, and FICA taxes.
- Parent-state paycheck model at $100k (single): Michigan ~$74,930 vs Montana ~$74,391 (−$539/year) — city COL can still change the equivalent salary you need.
- Illustrative 1-bedroom rent: ~$1,500/mo in Ann Arbor vs ~$950/mo in Billings (−$6,600/year).
- Quality-of-life snapshot (indicative): overall 53 in Ann Arbor vs 57 in Billings — higher safety in the new city.
Equivalent salary by income (Ann Arbor → Billings)
Tax-aware equivalent gross in Billings to match purchasing power at each starting salary in Ann Arbor (single filer). Same-gross take-home delta shows the paycheck-only effect of the move.
| Gross in Ann Arbor | Equiv. in Billings | COL adj. |
|---|---|---|
| $60,000 | $52,778 | -12% |
| $80,000 | $70,370 | -12% |
| $100,000Example | $87,963 | -12% |
| $150,000 | $131,944 | -12% |
| $200,000 | $175,926 | -12% |
Same calculation engine as the interactive tool. Filing status, deductions, and local wage taxes can change results — open the calculator to personalize.
Moving from Ann Arbor, MI to Billings, MT in 2026
Relocating from Ann Arbor, MI to Billings, MT changes more than your ZIP code. Rent, groceries, and everyday prices track city cost-of-living indices (108 → 95), while paycheck math follows Michigan vs Montana state tax rules plus federal withholding.
This page combines three views: (1) city COL for equivalent lifestyle salary, (2) after-tax take-home at the same gross in each location, and (3) housing and quality-of-life context so you can negotiate a raise, remote COLA, or a new offer with real numbers.
Because Billings is 12% cheaper than Ann Arbor on our index, a flat salary move without a COL adjustment usually means a real change in purchasing power — use the equivalent-salary figure as your negotiation floor.
Equivalent salary: Ann Arbor lifestyle in Billings
Equivalent salary answers: “What gross do I need in Billings, MT so my money goes as far as it does in Ann Arbor, MI?” The simple COL form is current salary × (95 ÷ 108). At $100,000 that is about $87,963 before refining for taxes.
Our calculator refines that with federal + state income tax, FICA, and NYC city income tax when New York City is one of the cities for both cities. For the $100,000 single-filer example, the tax-aware equivalent is about $87,963 in Billings.
Use equivalent salary when comparing offers, requesting a location differential, or deciding whether a remote role in Billings needs a raise to stay whole.
State tax when changing cities
Ann Arbor is modeled under Michigan rules; Billings under Montana. Federal brackets and FICA apply in both places. NYC city income tax is included when New York City is one of the cities; Philadelphia Wage Tax and most other city wage taxes are not.
At $100,000 gross (single, standard deduction), our parent-state ladder estimates about $74,930 take-home for Michigan vs $74,391 for Montana (−$539/year). Pair that with city COL — a tax win can still lose to rent.
Sales tax and effective property tax also differ between Michigan and Montana; they do not reduce paycheck withholding but they do change monthly budgets once you live there.
Housing costs: Ann Arbor vs Billings
For a typical 1-bedroom apartment, our housing model shows about $1,500/month in Ann Arbor versus $950/month in Billings. On a $100,000 gross that is roughly 18% of income vs 11.4% if your salary stays flat.
Neighborhood choice matters more than the metro average: a cheaper suburb of Billings can erase a COL gap, while a premium district of Ann Arbor can make “staying” more expensive than the citywide index suggests.
If you own a home, factor selling costs, buy-side closing costs, and property-tax rates in Montana separately from the rent-focused tables on this page.
How to use these numbers in a Ann Arbor → Billings negotiation
Lead with equivalent salary (Billings gross needed to match Ann Arbor purchasing power), then show same-gross take-home so employers see the tax side. Remote teams often approve a COL differential when you bring a clear metro-to-metro worksheet.
If the offer is fixed, run break-even: how much must rent drop (or how much must you earn in overtime/bonus) before the move beats staying. The calculator’s optional commute, lifestyle, and one-time moving costs help that cash-flow view.
Re-run the comparison after you know filing status, dependents, 401(k)/RRSP contributions, and a real lease quote — those inputs move after-tax and housing percentages more than the headline COL index.
Who should move to Billings — and who should stay
Move leans ahead if…
- •You want higher purchasing power or lower state income tax and can lock housing near the metro averages used here.
- •Career, family, or climate reasons favor Billings, and you have modeled rent + taxes — not just headline salary.
- •You can absorb a short-term moving cost bump for a multi-year gain in savings rate or career upside.
Staying may be wiser if…
- •Housing quotes in Billings come in far above the illustrative rents on this page.
- •Dual-career, schooling, or caregiving ties make the after-tax gain too small to justify disruption.
- •You prefer to renegotiate remote pay from Ann Arbor using these figures instead of relocating.
Quality of life: Ann Arbor vs Billings
higher safety in the new city.
| Dimension | Ann Arbor | Billings |
|---|---|---|
| Safety (0–100) | 50 | 62 |
| Weather comfort (0–100) | 55 | 52 |
| Overall | 53 | 57 |
Indicative comparison scores (higher is better). Verdict: Same. Not a substitute for local crime data or climate research.
Ann Arbor → Billings relocation checklist
Practical steps before you sign a lease or accept a location package.
- 1Run the calculator at your real gross and filing status with Ann Arbor → Billings prefilled.
- 2Compare equivalent salary vs the written offer (or remote COLA) in Billings.
- 3Get 2–3 real rent or mortgage quotes; compare to the 1BR / housing tables above.
- 4Check Montana state withholding, sales tax, and (if buying) property tax.
- 5Add one-time costs: deposits, movers, temporary housing, car registration, professional licenses.
- 6Revisit insurance (auto, renters/homeowners, health network) — premiums often move with the metro.
- 7If remote, confirm tax residency rules for Michigan vs Montana with payroll or a tax pro.
How to compare Ann Arbor and Billings
This page summarizes the move; personalized numbers come from the calculator with your salary.
- Open the calculator with this pair. Use Open calculator so Ann Arbor and Billings are pre-selected.
- Enter gross annual salary and filing status. The calculator applies federal and state taxes for each city.
- Review equivalent salary and take-home. See how much gross you may need in Billings for similar purchasing power and how take-home compares at the same gross.
- Optional: housing and other costs. Expand Housing, Commute, Lifestyle, and moving costs for a fuller picture.
The figures on this page use the same formulas and tax engine as the interactive relocation calculator. Here is how each piece is computed.
The example scenario tables above use a fixed 100,000 USD gross, single filing status, and tax rules for 2026 (same tax year as the interactive calculator). Housing lines use average 1-bedroom apartment rent for each city when data is available.
Cost-of-living index
Each city has a relative index where 100 is that country’s national average. A value of 120 means the modeled basket is about 20% more expensive than average; 85 means about 15% cheaper. US city indexes are rounded composites aligned with the C2ER Cost of Living Index (urban areas). Statewide tables elsewhere on the site use MERIC averages of those urban areas. Canada cities use Statistics Canada–style relative indexes. Neighborhood costs can still differ from the metro composite.
Equivalent gross salary (“same lifestyle”)
We scale your gross by the ratio of destination to origin COL: equivalent gross = your gross × (COL_destination ÷ COL_origin). That answers: “What gross in the new city matches the same broad spending basket as my current city?”—before taxes are applied again in the new jurisdiction.
Percent change vs your current gross
change % = ((equivalent gross − your gross) ÷ your gross) × 100. Positive means you need a higher gross in the destination to match the COL gap; negative means a lower gross can suffice.
After-tax take-home
Take-home is annual gross minus income and payroll taxes for the filing status you select. We use the same calculateTax engine as our paycheck and state calculators, with tax rules for 2026, each city’s state or province, and payroll taxes (US: Social Security and Medicare; Canada: CPP and EI). Where we model them, local wage or city income taxes are included. We do not model every possible deduction (for example voluntary 401(k) or RRSP deferrals); treat take-home as a planning estimate.
- Take-home in your current city — taxes your gross as if you live in the origin metro.
- Take-home in the new city at the same gross — same gross income, but tax rules for the destination state or province (and locality if modeled).
- Take-home in the new city at the equivalent gross — taxes the COL-adjusted equivalent salary in the destination.
“Approx. combined tax + payroll burden” (preview tables)
Shown as an effective rate: ((gross − take-home) ÷ gross) × 100, rounded to one decimal. It summarizes income plus payroll taxes on that row’s gross; it is not a marginal bracket rate.
Purchasing power line (example snapshot)
After we compute take-home in the origin at the scenario gross and take-home in the destination at the equivalent gross, we express the relative change as a percent: how much higher or lower the destination take-home is versus the origin take-home at those two points. Small differences are normal because tax schedules are not a perfect mirror of the COL ratio.
Housing snapshot (rent and % of income)
When shown, rent comes from our city-level housing benchmarks for the selected unit type (for example average rent for a 1-bedroom apartment). Rent as % of gross is (monthly rent × 12) ÷ annual gross × 100 using the scenario gross or equivalent gross as labeled in the table. Neighborhoods and exact units vary; use the full calculator to align with your housing choice.
All of the above is for education and planning. Your employer, deductions, credits, and local costs can differ—see our disclaimer on this page or consult a qualified professional for advice specific to your situation.
Not sure what COL, equivalent salary, or take-home means? See the full glossary on the main relocation calculator.
Terms & definitionsFrequently asked questions
Common questions about salary comparison and relocation between Ann Arbor, MI and Billings, MT.
At $100,000 gross (Single filer, tax year 2026), maintaining purchasing power from Ann Arbor to Billings typically requires about $87,963 gross in Billings (-12% vs current). At the same $100,000 gross, take-home is about $74,930 in Ann Arbor vs $74,391 in Billings (−$539/year). Equivalent salary = current × (COL in Billings / COL in Ann Arbor); open the calculator to personalize.
At $100,000 gross (single filer), estimated take-home is about $74,930 in Michigan vs $74,391 in Montana — a difference of −$539/year after federal tax, state income tax, and FICA (parent-state model). Sales tax averages ~6% in Michigan vs ~0% in Montana; effective property tax is ~1.19% vs ~0.61%. City COL can still change equivalent salary even when state take-home is similar.
The tables use one illustrative run: $100,000 USD gross, Single filer, tax year 2026—the same calculation engine as the interactive calculator. Equivalent gross needed is ~$87,963; same-gross take-home shifts by −$539/year. It is not personalized; use Open calculator to enter your salary, filing status, and optional housing.
Click Open calculator — personalize results on this page. Your current and destination cities load automatically. Enter your gross annual salary, choose filing status, then Compare. Expand Housing, Commute, Lifestyle, and moving costs if you want a fuller budget picture.
Equivalent salary is the gross you need in Billings, MT so purchasing power matches your lifestyle after COL and taxes. Take-home at the same gross shows what you keep if your salary does not change—helpful for remote work or a fixed offer.
Take-home pay differs by state and province due to income taxes. A higher gross in a high-tax place can mean less real purchasing power than a lower gross in a low-tax, lower-cost city. Comparing after-tax amounts shows the real impact of moving.
The index is relative to each country's national average = 100. A city with index 120 is about 20% more expensive than the national average; 85 means about 15% cheaper. We use cost-of-living data from standard sources for US and Canadian cities.
Yes. We include federal income tax, state income tax, Social Security, and Medicare, plus NYC city income tax when New York City is one of the cities. Philadelphia Wage Tax and most other city wage taxes are not in take-home.
Yes. For a 1-bedroom apartment, estimated rent is about $1,500/mo in Ann Arbor vs $950/mo in Billings (−$6,600/year). That is roughly 18% of a $100,000 gross in Ann Arbor vs 11.4% in Billings at the same gross. The Housing section also lists studio–3BR apartments, house rents, an illustrative mortgage, and effective property tax (~1.19% → ~0.61%). Open the calculator Housing section to change unit size or model buying.
We use relative cost-of-living indices (national average = 100) for major US and Canadian cities, aligned with commonly used sources such as C2ER-style indices (US) and Statistics Canada–style benchmarks (Canada). Indices are updated periodically; your exact experience can vary with neighborhood and lifestyle.
Enter gross annual salary. For hourly work, multiply rate × hours per week × 52 (adjust for part-time or overtime). For heavy bonus or commission years, estimate a realistic annual total or try a few salary levels.
Yes. At the same $100,000 gross, parent-state take-home differs by about −$539/year (Michigan vs Montana) in our single-filer estimate. Also compare take-home at the same gross in both cities for local tax effects. Use the equivalent salary figure as a benchmark for a COLA discussion.
No. This page only covers moves within one country (same currency and tax system). For a US–Canada move, run the calculator separately for each country and compare conceptually with your own exchange rate.
Results are planning estimates based on indexed COL data and standard tax rules. Withholding, credits, deductions, neighborhood rent, and policy changes can differ. Verify with a tax professional or payroll for binding decisions.
On our city COL index, yes — Billings (95) is lower than Ann Arbor (108), about 12% cheaper. You still need to check taxes and a real lease; a high-rent neighborhood in Billings can erase the index gap.
For a single filer at $100,000 gross, our tax-aware estimate is about $87,963 in Billings (-12%). Open the calculator to change filing status or gross.
Parent state rules for Michigan vs Montana are in the take-home ladder and metrics table. City COL is separate and can dominate when metros diverge from the statewide average.
Scores are indicative (0–100, higher is better) for safety and weather-style climate comfort. Ann Arbor overall 53 vs Billings 57: higher safety in the new city. They are not crime statistics or climate forecasts — use them as a secondary signal after pay and housing.
Related tools
Dig into taxes, flip the move, or compare other cities.
More city & state comparisons
Compare other moves or see which states are best for take-home pay.
Estimates for planning only. Cost-of-living indices and tax rules change; verify with local sources or a professional before relocating.