# Percentage Change Calculator

Use the below percentage change calculator to calculate percentage change:

The percentage change calculator is an easy & handy tool to calculate the increase or decrease change in percentage. To calculate this change in percentage we need to first understand the formula behind it & the concept used. We will provide you with all the essential knowledge about the percentage change calculation with the help of in-depth examples. Percentage change is a concept that is widely used in classrooms as well as the practical world. For example – discounts on products.

Prerequisite:

You should have knowledge of basic mathematic subtraction, addition, multiplication & division, i.e. +, -, x, /.

Percentage Change – Percentage change gives us an overview of the change in both directions (increase and decrease). It is the result that is obtained by subtracting the initial value from the final value, dividing by the initial value & then multiplying by 100.

i.e. (Final value – Initial value / Initial value) x 100

Follow the steps below to Calculate the percentage change:

1. Subtract Initial value (I) from Final value (F)
2. Divide the result of ‘Step 1’ by the Initial value (I)
3. Multiply the result of ‘Step 2’ by 100

So, the percentage change formula becomes – (F -I / I) x 100

## The formula used for the Percentage Change Calculator:

The formula used to calculate percentage change is as below:-

(Final value (F) – Initial value (I) / Initial value (I)) x 100

## Examples of percentage change calculation:

Let us look at some examples of percentage change in both increasing & decreasing nature to get more clarity.

### Example 1

Calculate the percentage change when the value of 50 becomes 100.

Solution:

Here, we are given the following data:

1. Initial value – 50
2. Final value – 100

Now, as we can see that the value is increasing in nature so the formula for percentage change will become the same as the formula for percentage increase calculation.

Let us follow the Steps discussed earlier:

Step 1 – Final value – Initial value = 100 – 50 = 50

Step 2 – Result of ‘Step 1’ / Initial value = 50 / 50 = 1

Step 3 – Result of ‘Step 2’ x 100 = 1 x 100 = 100%

Therefore, in this case, the percentage change is 100% & the change is increasing in nature.

### Example 2

Calculate the percentage change when the value of 20 becomes 75.

Solution:

Here, we are given the following data:

1. Initial value – 20
2. Final value – 75

Now, as we can see that the value is increasing in nature so the formula for percentage change will become the same as the formula for percentage increase calculation.

Let us follow the Steps discussed earlier:

Step 1 – Final value – Initial value = 75 – 20 = 55

Step 2 – Result of ‘Step 1’ / Initial value = 55 / 20 = 2.75

Step 3 – Result of ‘Step 2’ x 100 = 2.75 x 100 = 275%

Therefore, in this case, the percentage change is 275% & the change is increasing in nature.

### Example 3

Calculate the percentage change when the value of 100 becomes 20.

Solution:

Here, we are given the following data:

1. Initial value – 100
2. Final value – 20

Now, as we can see that the value is decreasing in nature so the formula for percentage change will become the same as the formula for percentage decrease calculation.

Let us follow the Steps discussed earlier:

Step 1 – Initial value – Final value = 100 – 20 = 80

Step 2 – Result of ‘Step 1’ / Initial value = 80 / 100 = 0.8

Step 3 – Result of ‘Step 2’ x 100 = 0.8 x 100 = 80%

Therefore, in this case, the percentage change is 400% & the change is decreasing in nature.

### Example 4

Calculate the percentage change when the value of 75 becomes 40.

Solution:

Here, we are given the following data:

1. Initial value – 75
2. Final value – 40

Now, as we can see that the value is decreasing in nature so the formula for percentage change will become the same as the formula for percentage decrease calculation.

Let us follow the Steps discussed earlier:

Step 1 – Initial value – Final value = 75 – 40 = 35

Step 2 – Result of ‘Step 1’ / Initial value = 35 / 75 = 0.4667

Step 3 – Result of ‘Step 2’ x 100 = 0.4667 x 100 = 46.67%

Therefore, in this case, the percentage change is 46.67% & the change is decreasing in nature.

## Percentage change for negative numbers:

We calculate the percentage change for the negative numbers similar to that of positive numbers. For the calculation, we use a similar formula as the percentage change for positive numbers. i.e. (Final value (F) – Initial value (I) / |Initial value| (|I|)) x 100

Here | I |is the absolute value of I (initial value) which means that the ‘-‘ sign is neglected here or not taken into account for calculation. For ex. | -20 | = 20

Let us take an example to understand the concept better:

Calculate percentage change when the value of -25 becomes -40

Solution:

Here, we are given the following data:

1. Initial value: -25
2. Final value: -40

Let us follow the Steps discussed earlier:

Step 1 – Initial value – Final value = (-40) – (-25) = -15

Step 2 – Result of ‘Step 1’ / Absolute Initial value (|I|) = -15 / 25 = -0.6

Step 3 – Result of ‘Step 2’ x 100 = -0.6 x 100 = -60%

## FAQs

### What is a 25% increase of 500?

25% increase of 500 gives us 25.

A 25% increase on 500 can be calculated as (25/100)*500 which gives us 125 & adding it to the initial value that is 500 gives us the end result as 25.

### How do you calculate a 15% increase?

A 15% increase on any amount can be calculated as [(15/100)*Number + Number].

for example, a 15% increase on 100 will be calculated as -> (15/100)*100 + 100 which gives us 115.

### What is the percentage change from 5 to 20?

When 5 changes to 20, it increases by 300%.

It can be calculated as -> (20-5/5)*100 which gives us 300%.

### What is the percentage change from 2 to 5?

When 2 changes to 5, it increases by 150%.

It can be calculated as -> (5-2/2)*100 which gives us 150%.