Percentage change calculator

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Final value:
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Percentage change result:	%
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Here we discuss list of online math calculators that help us for doing calculation easily.

Percentage Change

The Percentage Change Calculator (% change calculator) will quantify the change from one number to another and express the change as an increase or decrease.

This is a % change calculator. From 10 apples to 20 apples is a 100% increase (change) in the number of apples. Percentage change calculator determines the difference in values and the percent change from the original value to the new value.

This calculator will be most commonly used when there is an “old” and “new” number or an “initial” and “final” value. A positive change is expressed as an increase amount of the percentage value while a negative change is expressed as a decrease amount of the absolute value of the percentage value.

Percentage Change Formula

Percentage change equals the change in value divided by the absolute value of the original value, multiplied by 100.

The percent change formula is as follows:

Percentage Change=ΔV / |V1|×100

=(V2−V1) / |V1|×100

or

=(new_value - original_value) / |original_value| * 100

The two straight lines surrounding a number or expression (in this case original value) indicate the absolute value, or modulus. It means that if the value inside the straight lines is negative, we have to turn it into a positive one. The easiest way to do this is by erasing the minus before it. If the value inside the straight lines is positive, we don't need to do anything, it stays positive. After the absolute value is found, we can erase the straight lines or turn them into a bracket as they may serve this function as well.

How to calculate the percent change?

Percentage change differs from percent increase and percent decrease in the sense that we can see both directions of the change. For example, the percent increase calculator calculates the amount of increase, in which we would say, "x percent increase". The percent decrease calculator calculates the amount of decrease, in which we would say, "x percent decrease". The percent change calculator would yield a result in which we would say, "x percent increase or decrease".

To calculate percent change we need to take the difference between the starting value and final value, divide by the absolute value of the starting value, and multiply the result by 100. The section below will go into more detail and show how to solve this problem.

Percentage change formula – mathematical examples

Let's do a few examples together to get a good grasp on how to find percent change. In the first case, let's suppose that you have a change in value from 60 to 72 and you want to know the percent change.

1. Firstly, you need to input 60 as the original value and 72 as the new value into the formula.

2. Secondly, you have to subtract 60 from 72. As a result, you get 12.

3. Next, you should get the absolute value of 60. As 60 is a positive number, you don't need to do anything. You can erase the straight lines surrounding 60.

4. Now, you can divide 12 by 60. After this division, you get 0.2.

5. The last thing to do is to multiply the 0.2 by 100. As a result, you get 20 %. The whole calculations look like this:

[(72 – 60) / |60|] * 100 = (12 / |60|) * 100 = (12 / 60) * 100 = 0.2 * 100 = 20 %

You can check your result using the percentage change calculator.