Percentage Change Calculator
Find the Percent Increase or Percent Decrease between two numbers
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
What is percent change?
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
Is Percent change and Rate of Change same?
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
What is percent increase formula?
Percent Change = + (New Value - Previous Value / Previous Value * 100)
How do you find a percent decrease?
Percent Change = - (New Value - Previous Value / Previous Value * 100)
