## Formula for Percent Change Calculation

Percent Change = ((Final Value - Initial Value) / Initial Value) * 100%

This formula can be used to calculate the percent change of any two values, regardless of their units.

You can use it to calculate the percent change of a population, a stock price, or a temperature as per examples below:

Percent Increase

Population in 2020 = 800 crores

Population in 2021 = 900 crores

Percentage increase = 900-800 / 800 * 100 = +12.5% increase

Percent Decrease

Growth in starting year = 100

Growth after one year = 90

Percentage decrease = 90-100 / 100 * 100 = - 10% decrease

Percent Change from negative to positive

Previous value = -5

New value = 2

Percentage increase = 2 -- 5 / -5 * 100 = 140 % increase

Percent Change for Fraction

Previous value = 1/4

New value = 1/2

Percentage increase = (1/2)-(1/4) / (1/4) * 100 = 100 % increase

Find Percent change from 0 to 1, 0 to any number

Anything divided by 0 is undefined or infinity. In practical terms, it means 100% increase

Find New Value for a given Percentage Increase

Previous score = 700

Percentage increase = 12%

new value = 700 + 700 * 12/100 = 784 increase

Find Original Value for a given Percentage Decrease

new value = 100

percentage decrease = -25%

old value = 100 + (100 * 25 / 100) = 125

## Find Initial Value or Final Value given Percent Change

How to find initial value or final value given percent change:

To find the initial value:

Initial Value = Final Value / (1 + (Percent Change / 100))

To find the final value:

Final Value = Initial Value * (1 + (Percent Change / 100))

For example, if Initial value is 20 and percent change is 25%, then final value = 20 *(1+25/100) = 25

## Where is Percent Change Used?

## Percent Change Table

Input (Percent change from) | Percent Change (% change) |
---|---|

1/4 to 1/2 | + 100% |

2 to 1 | - 50% |

0 to 1 | 100% or infinity increase |

1 to 2 | + 100% |

4 to 7 | + 75% |

4 to 3 | - 25% |

4 to 5 | + 25% |

2 to 3 | + 50% |

8 to 10 | + 25% |

12 to 15 | + 25% |

10 to 3 | - 70% |

10 to 24 | + 140% |

100 to 80 | - 20% |

15 to 18 | + 20% |

2/5 to 4/5 | + 100% |

2 to 1.6 | - 20% |

8 to 2 | - 75% |

3/8 to 7/8 | + 133.333% |

3 to 30 | + 900% |

4/5 to 3/5 | - 25% |

40 to 60 | + 50% |

40 to 20 | - 50% |

4 to 1 | - 75% |

50 to 35 | - 30% |

5 to 9 | + 80% |

50 to 22 | - 56% |

8 to 6 | - 25% |

6 to 36 | + 500% |

4 to 6 | + 50% |

10 to 9 | - 10% |

19 to 9 | - 52.6316% |

6 to 9 | + 50% |

10 to 8 | - 20% |

5 to 8 | + 60% |

4 to 7 | + 75% |

5 to 7 | + 40% |

2/7 to 4/7 | + 100% |

## Frequently Asked Questions on Percentage Change Calculator

Percentage change is calculated as the difference between 2 values divided by the old value and multiplied by 100.

Percentage change from 1 to 3 = (3-1 / 1) x 100 = 200% change

Not exactly. Rate of change is always with respect to time.

Percent change is just change from old to new. The formula to compute the change from old to new is the same

Population Growth, Forest Area Reduction, Depreciation of Stock value are all examples for Rate of Change as it is measured with respect to time

Rainfall Increase or Decrease, Exam Scores with Pass/Fail Percent are some of the areas where Percent Increase or Decrease is used

Percent Change = + (New Value - Previous Value / Previous Value * 100)

Percent Change = - (New Value - Previous Value / Previous Value * 100)