Math

Percentage calculator.

Three everyday percentage questions, answered as you type.

The three calculations

Most "percentage" questions are one of three things. X% of Y just multiplies — 15% of 80 is 0.15 × 80 = 12. What percent is X of Y divides and scales — 30 out of 120 is 30 ÷ 120 × 100 = 25%. And percent change measures the difference relative to where you started: (new − old) ÷ old × 100, so 50 → 75 is a 50% increase. The change figure is the one people get wrong most often, because the denominator is always the original value, not the new one. For shopping math, the discount calculator and sales tax calculator apply these same formulas to prices.

FAQ

How do I calculate what percent one number is of another?
Divide the part by the whole and multiply by 100. For example, 30 out of 120 is 30 ÷ 120 = 0.25, which is 25%.
How do I work out percent increase or decrease?
Subtract the old value from the new value, divide by the old value, then multiply by 100. Going from 50 to 75 is (75 − 50) ÷ 50 × 100 = 50% increase; a negative result means a decrease.

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