Math calculator

Percentage Calculator

Solve percent of a number, one value as a percent of another, reverse percentage, percentage change and percent conversion.

Percent ratio

X is what % of Y?

x / y × 100
Answer20%

Reverse percent

X is Y% of what?

x / (y / 100)
Answer60

Percent converter

Percent to decimal, fraction and PPM

p / 100

Decimal0.125

Fraction1/8

PPM125000 ppm

Percentage calculation examples

Percent of a value

20% × 60 = 12

Percent ratio

12 / 60 × 100 = 20%

Whole value

12 / 0.20 = 60

Percent change

(50 - 40) / 40 × 100 = 25%

Percentage formulas

QuestionFormulaExample
What is X% of Y?X / 100 × Y20 / 100 × 60 = 12
X is what % of Y?X / Y × 10012 / 60 × 100 = 20%
X is Y% of what?X / (Y / 100)12 / 0.20 = 60
Percent change(final - start) / start × 100(50 - 40) / 40 × 100 = 25%

Percentage calculator FAQ

How do I calculate 20% of a number?

Convert 20% to 0.20 and multiply by the number.

What is percent change?

Subtract the start from the final value, divide by the start, then multiply by 100.

Can I use negative numbers?

Yes. A zero starting value makes percentage change undefined.

How is a percent converted to a fraction?

Divide by 100 and simplify the resulting fraction.