Everyday math

Percentage calculator

Calculate percentages, proportions and changes.

Calculation

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Which value is the denominator for a percentage?

Use the whole for a proportion and the original value for percentage change. 50 out of 200 is 25%; moving from 200 to 250 is also a 25% increase, but these are different questions.

Counting rules and examples
TaskInputs in orderResult
15% of 200Base 200 / percentage 1530
50 out of 200Whole 200 / part 5025%
200 → 250Original 200 / new 25025%
200 → 150Original 200 / new 150−25%

A rate moving from 10% to 15% rises by 5 percentage points, or 50% relative to its original value. Change from zero is undefined. Inputs must be nonnegative; a decrease appears as a negative result.

Use the discount calculator for sale prices and savings.

How to use

  1. Choose percentage of a number, part of a whole or percentage change.
  2. Enter the base first, then the percentage or comparison value.
  3. Calculate and read the result for your selected mode.

How it works

Percentage of a number = base × percent ÷ 100. Proportion = part ÷ whole × 100. Change = (new − original) ÷ original × 100.

Common questions

How are decreases shown?

A decrease has a negative sign. Going from 200 to 150 gives −25%.

Can the original value be zero?

Proportions and changes cannot use a zero denominator. Percentage of a number can use a zero base.

Is this percentage points?

No. Moving from 10% to 15% is 5 percentage points, but a relative increase of 50%.