# Percentage Change Calculator

Percentage change differs from percent increase and percent decrease within the sense that we will see both directions of the change.

#### Input

$$Initial\ Value=9$$ $$Final\ Value=15$$

#### Solution

$$Percentage\ Change=66.6667\% \ increase$$

#### Formula

$$Percentage\ Change=\frac{(Final\ Value-Initial\ Value)}{|Initial\ Value|}* 100$$

# How to calculate the percent change?

Percentage change differs from percent increase and percent decrease within the sense that we will see both directions of the change. For instance, the percent increase calculator calculates the quantity of increase, during which we might say, "x percent increase". The percent decrease calculator calculates the quantity of decrease, during which we might say, "x percent decrease". The percent change calculator would yield an end in which we might say, "X percent increase or decrease".

To calculate percent change we'd like to form the difference between the starting value and final value, divide by absolutely the value of the starting value, and multiply the result by 100. The section below will enter more detail and show the way to solve this problem.

## Percent change formula

The percent change formula is as follows:

(New value - original value) / |original value| * 100

The two straight lines surrounding variety or during this case original value) indicate absolutely the value or modulus. It means if the worth inside the straight lines is negative, we've to show it into a positive one. The simplest thanks to doing that are by erasing the minus before it.

If the worth inside the straight lines is positive, we do not get to do anything, it stays positive. After absolutely the value is found, we will erase the straight lines or turn them into a bracket as they'll serve this function also.

You may ask the way to calculate the percent difference. It’s an equivalent thing to percent change, so you'll use the share change calculator to accomplish this task also. The overall percentage formula for one quantity in terms of another is multiplying the ratio of the 2 quantities by 100.

The share change calculator isn't only useful in a classroom setting but also in everyday applications. The quantity of nuisance tax on an item represents a percent change, as does the tip added to the bill at a restaurant.

The power to calculate the share change may are available handy when negotiating a replacement salary or assessing whether the peak of your child has increased appropriately.

As you'll see, knowing the way to calculate percent change by hand using the percent change formula could also be useful within the real-world.

### Percentage change formula – mathematical examples

Let's do a couple of examples together to urge an honest grasp on the way to find a percent change. Within the first case, let's suppose that you simply have a change in value from 60 to 72 and you would like to understand the percent change.

Firstly, you would like to input 60 because of the original value and 72 because of the new value into the formula.

Secondly, you've got to subtract 60 from 72. As a result, you get 12.

Next, you ought to get absolutely the value of 60. As 60 may be a positive number, you do not get to do anything. You’ll erase the straight lines surrounding 60.

Now, you'll divide 12 by 60. After this division, you get 0.2.

The last item is to try multiply the 0.2 by 100. As a result, you get 20 %. The entire calculations appear as if this:

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

You can check your result using the share change calculator. Is everything all right?

In the second example, let's affect a rather different example and calculate the percent change in value from 50 to -22.

Set 50 because of the original value and -22 because of the new value.

Then, you would like to perform subtraction. The difference between -22 and 50 is -72. Remember always to subtract the first value from the new value!

Next, you're obliged to urge absolutely of fifty. Because the original value during this example is additionally a positive number, then you'll just erase the straight lines.

It is time to perform the division. -72 divided by the 50 equals -1.44.

Finally, you've got to multiply the result by 100. Let's see. -1.44 times 100 are -144 %. The entire process should appear as if this:

[(-22 – 50) / |50|] *100 = (-72 / |50|) * 100 = (-72 / 50) * 100 = -1.44 * 100 = -144 %

Remember that you simply can always check the result with the percent change calculator.

### Q. What Is The Formula Of Percentage?

A. The Formula Of Percentage Change Is C=X_2-X_1/X_1. Where; C = Relative Change X_1 = Initial Value X_2 = Final Value