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Percentage Calculator

X% of Y, percentage change, add or subtract a percent. All in one place.

Of · (X/100)×YChange · ((New−Old)/Old)×100Add % · ×(1+X/100)Subtract % · ×(1−X/100)

Percentage calculator formulas

X% of Y: (X ÷ 100) × Y. % change: ((New − Old) ÷ Old) × 100. Add X%: Y × (1 + X/100). Subtract X%: Y × (1 − X/100).

Percentage tools

Four modes—pick a tab and enter your numbers.

What is X% of Y?
e.g. 15% of 200 = 30
15% of 200 = 30

Common percentage conversions

FractionPercentFractionPercent
1/425%3/475%
1/250%1/520%
1/333.33%2/366.67%
1/1010%1/812.5%
1/205%1/1001%

When to use a percentage calculator

Percentages appear in tips (15%, 20%), sales tax, pay raises (3% increase), discounts, tax rates, and investment returns. Use our tip calculator, sales tax calculator, or pay raise calculator for those specific cases.

Common questions about percentages

How do I calculate X% of Y?

Convert the percentage to a decimal (divide by 100) and multiply by Y. X% of Y = (X ÷ 100) × Y. Example: 15% of $80 = 0.15 × 80 = $12. Or: 20% of 250 = (20 ÷ 100) × 250 = 50. Use the "X% of Y" tab in the calculator above for instant results.

How do I calculate percentage increase or decrease?

Percentage change = ((New − Old) ÷ Old) × 100. For an increase: $100 → $120 = (20 ÷ 100) × 100 = 20% increase. For a decrease: $100 → $80 = (-20 ÷ 100) × 100 = -20% (or 20% decrease). This formula works for prices, salaries, and any numeric change. Use the "% change" tab in the calculator.

How do I add or subtract a percentage?

Add X%: multiply by (1 + X/100). $100 + 8% = $100 × 1.08 = $108. Subtract X%: multiply by (1 − X/100). $100 − 15% = $100 × 0.85 = $85. Useful for discounts, sales tax, markups, and tips.

What's the difference between percentage point and percent?

A percentage point is the absolute difference between two percentages. If a rate goes from 10% to 15%, that's a 5 percentage point increase. A percent (relative change) would be (15 − 10) ÷ 10 = 50%—the rate increased by 50% of its original value. In news and finance, "the Fed raised rates by 0.25 percentage points" means the quoted rate level rose by 0.25 percentage points (for example from 5.00% to 5.25%), not a relative increase of 0.25% of the previous rate.

How do I reverse a percentage (find the original before a markup or discount)?

If you have a final amount after a percentage change, divide by the multiplier. After 20% markup: $120 ÷ 1.20 = $100 original. After 15% discount: $85 ÷ 0.85 = $100 original. For "what was the price before tax?" use our sales tax calculator in remove-tax mode.

Frequently asked questions

Percentage increase = ((new value − old value) ÷ old value) × 100. Example: $100 to $120 is (20 ÷ 100) × 100 = 20% increase.

20% of $50 = 0.20 × 50 = $10. Use the "X% of Y" tab in the calculator above.

Multiply by 1.10. Example: $100 + 10% = $100 × 1.10 = $110. Or: $100 + (10% of $100) = $100 + $10 = $110.

Same formula: ((new − old) ÷ old) × 100. A decrease gives a negative result. Example: $100 to $80 = -20%.

A percentage point is the absolute difference between two percentages. Going from 10% to 15% is a 5 percentage point increase, but a 50% relative increase ((15 − 10) ÷ 10). Relative percent compares to the old value; percentage points describe how many points the rate moved. Example: a 0.25 percentage point hike means the level moves from 5.00% to 5.25%, not a 0.25% relative increase of the old rate.

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Last updated: 2026-03-31 · For educational use; verify critical calculations independently.