# Percent increase

The percent increase between two numbers is the amount that a number increases from an initial value to a final value in terms of a percent. It can be found using a simple formula:

In the formula, final is the final value, or the larger value, and initial is the initial value, or smaller value. The "| |" around initial indicates an absolute value, which is the size of the number, regardless whether it is positive or negative.

To calculate percent increase given two numbers:

- Identify the initial and the final value; the final value is the larger of the two.
- Subtract the initial value from the final value.
- Divide the difference by the absolute value of the initial value.
- Multiply the result by 100 to convert the decimal to a percent.

Examples

Find the percent increase between the following numbers.

1. 64 and 12:

Therefore, there is a 400% increase between 12 and 64.

2. -22 and 35:

Therefore, there is a 259.091% increase between -22 and 35.