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:

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


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.