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Percentage Change Calculator

Percentage change calculator determines the difference in values and the percent change from the original value to the new value.

The percentage change calculator is used to determine the amount of change a quantity takes in terms of a percent. This is particularly useful in aspects of finance, chemistry, exponential growth and decay and other areas of mathematics. First we need to know how to calculate percent change and how to understand and use the percent change formula.

How to calculate percent change

The 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 ending value, divide by the starting value and multiply the result by 100. Then take the absolute value. The section below will go into more detail and show how to solve a problem.

Percent change formula

The percent change formula is as follows: (original value - new value)/(original value) * 100.

For example, suppose we have a change in value from 65 to 53 and want to know the percent change.

  1. Input 65 for original value and 53 for new value into the formula
  2. Subtract 53 from 65 to get 12.
  3. Divide 12 by 65 to get 0.184.
  4. Multiply by 100 to get 18.4%.
  5. Check your result using the percentage change calculator.

You may also be asked how to calculate percent difference which is the same thing as percent change. So you can use the percentage change calculator to accomplish the same task.

The general percentage formula for one quantity in terms of another is multiplying the ratio of the two quantities by 100.

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