Percentage Increase Calculator

The percentage increase calculator is designed to determine the percent (%) increase or decrease between the original and new values.

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How to Use the Percentage Increase Calculator?

  1. Enter the original (initial) and new (final) values.
  2. Click the 'Calculate' button.
  3. The calculator will display the percentage increase/decrease, difference, and step-by-step calculation.

What is Percentage Increase?

The percentage increase is a measure that expresses the relative change between the original value and a new value. It can be used in finance, economics, business, science, and many more fields.

How to Calculate Percentage Increase?

The percentage increase is calculated by taking the difference between the new value and the original value, dividing that difference by the original value, and then multiplying the result by 100 to express it as a percentage. The formula for percentage increase is:

Percent(%) Increase =  
F - i
| i |
   ×  100

Where,
i = Initial or Original Value,
F = Final or New Value.

Let's take some examples.

Example 1:

Suppose, the initial value is $1000 and the final value is $1500. Calculate the percentage increase between the given two values.

Solution:

Here, i = $1000 and F = $1500.

Now, put the values in the formula:

Percent(%) Increase =  
F - i
| i |
   ×  100
=  
1500 - 1000
| 1000 |
   ×  100

= 0.5 × 100 = 50%

So, there is a 50% increase between $1000 and $1500.

Example 2:

Suppose, a person invested $1500. After a year it's decreased to $800. Calculate the percentage decrease.

Solution:

Here, i = $1500 and F = $800.

Percent(%) Increase =  
F - i
| i |
   ×  100
=  
800 - 1500
| 1500 |
   ×  100

= -0.467 × 100 = -46.7%

So, there is a 46.7% decrease in an invested amount.