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Reduction in Percentage Calculator

Reduction Percentage Formula:

\[ \text{Reduction \%} = \left( \frac{\text{Original} - \text{New}}{\text{Original}} \right) \times 100 \]

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1. What is a Reduction Percentage Calculator?

Definition: This calculator determines the percentage reduction between an original value and a new value.

Purpose: It helps quantify decreases in values like prices, quantities, measurements, or performance metrics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Reduction \%} = \left( \frac{\text{Original} - \text{New}}{\text{Original}} \right) \times 100 \]

Where:

Explanation: The difference between original and new values is divided by the original value, then multiplied by 100 to get a percentage.

3. Importance of Reduction Percentage Calculation

Details: This calculation is crucial for analyzing price discounts, performance improvements, cost savings, and statistical changes.

4. Using the Calculator

Tips: Enter the original value and new value (must be ≤ original). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What does a negative reduction percentage mean?
A: A negative result indicates an increase rather than a reduction (new value > original value).

Q2: Can I use this for percentage increase calculations?
A: Yes, if new value > original, the result will show a negative percentage (indicating increase).

Q3: What's the maximum possible reduction percentage?
A: The maximum is 100%, which occurs when the new value is zero.

Q4: How precise are the results?
A: Results are shown to 2 decimal places for accuracy.

Q5: Can I calculate reverse (find original from reduction)?
A: Not directly with this calculator, but you can rearrange the formula: Original = New / (1 - Reduction%/100).

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