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.

## Percentage change calculation

The percentage change from old value (V_{old}) to new value (V_{new}) is equal to the old and new values difference divided by the old value times 100%:

percentage change = (*V*_{new} - *V*_{old}) / *V*_{old} × 100%

#### Example #1

Price percentage increase from old value of 1000$ to new value of 1200$ is caluclated by:

percentage change = (1200$ - 1000$) / 1000$ × 100%

= 0.2 × 100% = 20%

#### Example #2

Price percentage decrease from old value of 1000$ to new value of 800$ is caluclated by:

percentage change = (800$ - 1000$) / 1000$ × 100%

= -0.2 × 100% = -20%

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