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CalcSolver
Mathematics

Percentage Calculator

Work out percentages three ways: find a percentage of a number, find what percentage one number is of another, or calculate a percentage increase or decrease. Each answer comes with the steps.

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Formula

P% of N = (P ÷ 100) × N · X is (X ÷ Y) × 100 % of Y · Change = ((B − A) ÷ |A|) × 100

How it works

  1. 1

    Pick the type of percentage problem you want to solve.

  2. 2

    For “P% of N”, the percentage is converted to a decimal and multiplied by N.

  3. 3

    For “X is what percent of Y”, X is divided by Y and multiplied by 100.

  4. 4

    For percentage change, the difference is divided by the original value, then multiplied by 100.

Worked examples

Finding a percentage of a number

What is 15% of 200?

  1. 15% = 0.15
  2. 0.15 × 200 = 30

Answer: 30

Percentage increase

A price rises from 50 to 65. What is the percentage increase?

  1. Difference: 65 − 50 = 15
  2. 15 ÷ 50 = 0.3
  3. 0.3 × 100 = 30%

Answer: 30% increase

Frequently asked questions

How do I calculate a percentage of a number?
Divide the percentage by 100 to get a decimal, then multiply by the number. For example, 15% of 200 is 0.15 × 200 = 30.
How do I find what percent one number is of another?
Divide the first number by the second, then multiply by 100. For example, 45 out of 180 is (45 ÷ 180) × 100 = 25%.
How is percentage change calculated?
Subtract the original value from the new value, divide by the original value, and multiply by 100. A positive result is an increase; a negative result is a decrease.