Percentage Calculator: Percent Of, Percent Change and Ratios

Free percentage calculator: find X% of a number, what percent one number is of another, and the percentage increase or decrease between two values.

What is X% of Y?

% of = 30

X is what percent of Y?

is what % of = 20%

Percentage change from X to Y

→ = +25%

Three percentage calculations in one place: what is X% of Y, X is what percent of Y, and the percentage change from one value to another. Type into any box and the answer updates instantly; commas and dots both work as the decimal separator. Handy for discounts, sales tax, test scores, price rises and statistics.

How it works

Each line uses one standard formula. X% of Y = X ÷ 100 × Y. For example, 20% of 150 is 0.20 × 150 = 30. X is what percent of Y = X ÷ Y × 100. 30 out of 150 is 30 ÷ 150 × 100 = 20%. Percentage change from X to Y = (Y − X) ÷ |X| × 100. A positive result is an increase, a negative one a decrease. Going from 80 to 100 is (100 − 80) ÷ 80 × 100 = +25%. Results are rounded to two decimal places. Mind the difference between percent and percentage points: if an interest rate rises from 2% to 3%, it went up by one percentage point, but by 50 percent.

Worked example

A jacket costs $80 and goes on sale at 25% off. 25% of 80 is $20, so you pay $60. To check the discount the other way round, ask: 20 is what percent of 80? The answer is 25%. If the price later goes from $60 back up to $80, the change is +33.33%, not +25%, because a percentage change is always measured against the starting value.

Frequently asked questions

How do I calculate a percentage of a number?

Divide the percentage by 100 and multiply by the number. 15% of 240 is 0.15 × 240 = 36.

How do I work out a percentage increase?

Subtract the old value from the new one, divide by the old value and multiply by 100. From 50 to 65 is (65 − 50) ÷ 50 × 100 = 30% more.

Why doesn't a 20% rise followed by a 20% drop get back to the start?

Because the second percentage applies to a bigger number. 100 plus 20% is 120, and 120 minus 20% is 96, not 100.

What is the difference between percent and percentage points?

Percentage points are the plain difference between two percentages (from 4% to 6% is 2 points); percent describes the relative change (from 4% to 6% is a 50% increase).

How do I take sales tax out of a price?

To add 8% tax, take 108% of the net price with the first line. To remove it, divide the total by 1.08; simply subtracting 8% gives the wrong answer.