# Percentage Change Calculator

The Percentage Change Calculator is a useful tool for determining the percentage change between two values. It simplifies the process of calculating the percentage increase or decrease in a quantity over time, allowing for quick and accurate comparisons.

## Final value calculator

The Final Value Calculator is a useful tool for determining the final value of an investment or savings account over a specific period of time. It helps users estimate the future worth of their investments by taking into account factors such as initial principal, interest rate, compounding frequency, and the length of the investment period.

## Percentage change calculation formula

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

percentage change = (*V*_{final} - *V*_{initial}) / *V*_{initial} × 100%

### Example #1

Price percentage increase from initial value of $1000 to final value of $1200 is caluclated by:

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

= 0.2 × 100% = 20%

### Example #2

Price percentage decrease from initial value of $1000 to final value of $800 is caluclated by:

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

= -0.2 × 100% = -20%

### Example #3

Suppose we have the following data:

Year | Sales |
---|---|

2019 | $500 |

2020 | $700 |

2021 | $900 |

To calculate the percentage change in sales from one year to another, you can use the following formula:

Percentage Change = ((New Value - Old Value) / Old Value) * 100

Using this formula, we can calculate the percentage change in sales for each year compared to the previous year:

Year | Sales | % Change |
---|---|---|

2019 | $500 | |

2020 | $700 | 40.00% |

2021 | $900 | 28.57% |

To calculate the percentage change from 2019 to 2020, we substitute the values into the formula:

((700 - 500) / 500) * 100 = 40.00%

Similarly, to calculate the percentage change from 2020 to 2021:

((900 - 700) / 700) * 100 = 28.57%

Therefore, the percentage change in sales from 2019 to 2020 is an increase of 40.00%, and from 2020 to 2021 is an increase of 28.57%.