Result

30%

Percentage change = (new − original) ÷ original × 100

How it works

The difference between the new and original values is divided by the original value, then multiplied by 100. Because the original value is the base of the comparison, swapping the two values does not give the same result.

Formula: Percentage change = (new − original) ÷ original × 100

Examples

An increase

From 50 to 65 is a change of ((65 − 50) ÷ 50) × 100 = 30%.

A decrease

From 100 to 80 is a change of ((80 − 100) ÷ 100) × 100 = −20%.

Things to keep in mind

  • Percentage change is directional and uses the original value as its base — it is not the same calculation as percentage difference, which treats both values symmetrically and does not care which one came first. See the Percentage Difference Calculator for that version.
  • Percentage change cannot be calculated from an original value of zero, since there is nothing to compare the change to.

Frequently asked questions

What is the difference between percentage change and percentage difference?

Percentage change is directional: it compares a new value back to an original value, and the answer depends on which value you call "original". Percentage difference is symmetric: it compares two values without treating either as the starting point, so swapping them gives the same result.

Why is my percentage change negative?

A negative percentage change means the new value is smaller than the original — it is a decrease, not an error.