What is a Reverse Percentage Calculator?
A Reverse Percentage Calculator helps you find the original value before a percentage increase or decrease was applied.
For instance, you know the final price after a 20% discount and want to find the price before the discount. This tool simplifies the process.
This calculator is perfect for:
- Reversing percentage increases or decreases.
- Finding the original value before a percentage change.
- Calculating percentages backward for financial or shopping needs.
- Businesses determining pre-tax prices.
- Financial professionals working with percentage-based transactions.
How to Use the Reverse Percentage Calculator
- Enter the final value after the percentage change.
- Enter the percentage change.
- Select whether the change is an increase or decrease.
- The calculator will display the original value instantly.
Formula for Reverse Percentage Calculation
To calculate percentages backward, use these formulas:
For a Percentage Increase:
- Original Value = Final Value ÷ (1 + (Percentage Increase ÷ 100))
For a Percentage Decrease:
- Original Value = Final Value ÷ (1 - (Percentage Decrease ÷ 100))
Examples of Reverse Percentage Calculations
Example for Reverse Percentage Increase:
- Final Price: $120
- Percentage Increase: 20%
- Original Price = $120 ÷ (1 + (20 ÷ 100)) = $100
Example for Reverse Percentage Decrease:
- Final Price: $80
- Percentage Decrease: 20%
- Original Price = $80 ÷ (1 - (20 ÷ 100)) = $100
Use this tool for quick, accurate calculations.