Percent Increase Calculator

Find the percent increase or the growth in a value by entering the known values below.



40% increase

Steps to Solve Percent Increase

Start with the percent change formula
p=(y2 - y1) / |y1|×100
Substitute values in the equation
(105 - 75) / |75|×100
30 / 75×100
Learn how we calculated this below

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How to Find Percent Increase

Percent increase is the growth in a value expressed as a percentage. It is the percent of change from the initial quantity to a larger final quantity.

Use the following formula to calculate the percentage increase.

Percent Increase Formula

Percentage increase is defined as the difference between the initial value and final value divided by the initial value. The percent increase formula is:

p = final – initial / |initial| × 100

Thus, the increase in value expressed as a percentage is equal to the final value minus the initial value, divided by the absolute value of the initial, times 100.

Formula showing how to calculate percent increase

For example, let’s calculate the percentage increase from 50 to 80.

p = 80 – 50 / |50| × 100
p = 30 / 50 × 100
p = 0.6 × 100
p = 60% increase

How to Calculate the Growth by a Percentage

If the percent increase is known, you can calculate the growth of a value to the final value by multiplying the initial value by the percentage and adding that to the initial value.

final = (initial × p / 100) + initial

Thus, the final value is equal to the initial value times the percentage divided by 100, plus the initial value.

For example, let’s calculate the growth of the initial value 80 by 50%

final = (80 × 50 / 100) + 80
final = (80 × .5) + 80
final = 40 + 80
final = 120

Use our percent decrease calculator to find the decrease in a value.

Frequently Asked Questions

Is percentage increase the same as percentage change?

Percent increase is a component of percent change. Percent change encompasses both percent increase and/or percent decrease.

What is the percent increase when a quantity is doubled?

When a quantity is doubled, the percentage increase is 100 percent.

Can percent increase be negative?

No, positive values represent a percentage increase. Whereas a negative value will indicate a percentage decrease.