Math

Percentage Change Calculator

Find the percentage change from an old value to a new value.

By TheCalcTools Updated Formula checked and tested

Your numbers

Your results

Change
Change
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Percentage change
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Direction
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Percentage Change Calculator by TheCalcTools

How the Percentage Change Calculator works

Enter the starting value and the final value.

The change is the new value minus the old value.

Dividing that change by the absolute old value and multiplying by 100 gives the percentage.

The formula

% change = (new − old) ÷ |old| × 100

Worked example

Using the default values shown in the calculator:

Old value80
New value100
  1. Change = 100 − 80 = 20.
  2. Percentage change = 20 ÷ 80 × 100 = 25.0%.
  3. This is an Increase.

Result:

Change20.00
Percentage change25.00%
DirectionIncrease

Frequently asked questions

Why is a 50% rise followed by a 50% fall not back to the start?

The second change is measured on the larger number. 100 up 50% is 150; 150 down 50% is 75.

What is percentage point change?

It is the simple difference between two percentages, for example from 4% to 6% is 2 percentage points, but a 50% relative increase.

Sources and further reading

ROI CalculatorMeasure how much an investment, project or campaign earned compared with what it cost… Ratio Simplifier CalculatorSimplify a ratio A : B to its lowest terms Fraction CalculatorDo arithmetic with two fractions and see the answer in lowest terms Scientific Notation ConverterWrite any number in scientific notation, a × 10ⁿ Long Division Calculator (Quotient and Remainder)Enter the dividend and divisor Modulo Calculator (a mod n)Enter a number and the modulus

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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.