# Percentage Change Calculator

LAST UPDATE: September 24th, 2020

## Definition – What is a percentage?

A percentage is a number expressed as a fraction of 100.
If a number is 100% (100 percent), then it is a “whole” – the same as one.
If a number is 50%, then it is a half – the same as 0.5 or 1/2.
If a number is 400%, then it is 4 times, the same as 4.

## Formula – How to Calculate Percentage Change

The percentage change between two numbers is found by dividing their difference by the number that is being changed from, then multiplying that result by 100%.

Percent Change = ((Second Value – First Value) ÷ First Value) x 100%

Note: the percent change measures FROM the first value. A change from 50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50). A change from 75 to 50 is a change of -33.3% (25 is still the difference between the two. 25 is 33.3% of 75).

### Example

Change from 50 to 75: ((75 – 50) ÷ 50) x 100% = (25 ÷ 50) x 100% = 0.5 x 100% = 50%
Change from 75 to 50: ((50 – 75) ÷ 75) x 100% = (-25 ÷ 75) x 100% = -0.333 x 100% = -33.3%
Change from 0.0443 to 0.0444: ((0.0444 – 0.0443) ÷ 0.0443) x 100% = (0.0001 ÷ 0.0443) x 100% = 0.002257 x 100% = 0.2257%