Percentage Change Calculator

Recommended for You

Not sure where to start? These are the lessons and games we recommend most to students, parents and teachers on Basic-mathematics.com. Each lesson explains the topic in plain language, walks you through worked examples step by step, and ends with practice so you can check your understanding. Pick one below, or use the menu to find lessons on fractions, algebra, geometry, statistics and more.

The percentage change calculator will calculate the percentage increase/decrease between two numbers. You can also see a step-by-step solution showing exactly how the answer was found.

Percentage Increase/Decrease Calculator

↔️

How to calculate the percentage increase

Find the percentage change if the initial value is 4 and the final value is 8

Percentage increase: 100.00%

Step-by-Step Calculation:

1. Initial Value: 4

2. Final Value: 8

3. Difference: 8 - 4 = 4.00

4. Percentage Change Formula: (Difference / |Initial Value|) × 100

5. Calculation: (4.00 / |4|) × 100 = 100.00%

How to calculate the percentage decrease

Find the percentage change if the initial value is -4 and the final value is -8

Percentage decrease: 100.00%

Step-by-Step Calculation:

1. Initial Value: -4

2. Final Value: -8

3. Difference: -8 - -4 = -4.00

4. Percentage Change Formula: (Difference / |Initial Value|) × 100

5. Calculation: (-4.00 / |-4|) × 100 = -100.00%

Note: When the initial value is negative, we use its absolute value in the denominator to correctly calculate the percentage change.

This is a percentage decrease because the absolute value of the final value is smaller than the absolute value of the initial value.