Have you ever wondered how to determine the starting point when all you have is the final figure after a percentage shift? Our Reverse Percentage Tool is designed to solve this exact puzzle.

By inputting the percentage change and the end result, you can uncover the original value with ease. Simply specify whether the change was an uptick or downturn to ensure precision in your calculations.

## Reverse Percentage Calculator

### Step-by-Step Guide

- In the “Percentage Change (%)” box, input the magnitude of change.
- Fill in the “New Final Value” field with the value after the percentage alteration.
- Hit “Calculate Original Value” to reveal the initial value before the percentage shift.
- Your answer will appear beneath the calculator.

### Formula for Reverse Percentage Calculations

Reverse percentage calculations involve working backwards from a known end result to discover the starting point. This process inverts the standard percentage calculation method.

Use this formula for an uptick scenario:

\( \text{Initial Value} = \frac{\text{Final Value}}{1 + \left(\frac{\text{Percentage Shift}}{100}\right)}

\)

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### Real-World Application

Let’s say you’re analyzing market trends and notice that after a 15% downturn, a stock’s value is now $85. To find the original stock price, we’ll use the formula for a percentage decrease:

\( \text{Initial Value} = \frac{\text{Final Value}}{1 – \left(\frac{\text{Percentage Shift}}{100}\right)}\)

**Plugging in our known data:**

\)

**Simplify the denominator:**

\)

**Now, divide the Final Value by our simplified denominator:**

\)

Thus, we can conclude that the stock’s original value before the 15% downturn was $100.

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