Percentage Calculator

Percentage calculator X%

Three common percentage problems. The solution appears right below the form you calculate.

Type 1. Find X% of Y

Formula: (X × Y) / 100. Example: 15% of 200.

Type 2. X is what percent of Y?

Formula: (X / Y) × 100%. Example: 30 out of 200.

Type 3. Change from X to Y

Find the difference and the rate (Y − X) / X × 100%, then decide whether it is an increase or a decrease.

The calculator above handles the most common percentage questions: the percent of a number, what percent one value is of another, and percentage change.

Formulas used

Percent = a / b × 100%
p% of b = p · b / 100
Change = (new − old) / old × 100%
  • A positive change is an increase, a negative change is a decrease.
  • Percentage points are not the same as percent change.

Worked example

What percent is 45 of 180?

45 / 180 × 100% = 25%

Enter the same values in the calculator above to see every step of the solution.

How to use the calculator

  1. Choose the type of calculation and enter the two values.
  2. Press the calculate button. The result appears instantly.
  3. Read the step-by-step solution, rendered with KaTeX, to check your own work.