Percentage Change Calculator

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.



Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Math quizzes

 Recommended