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Calculate Percentage Reduction Calculator

Percentage Reduction Formula:

\[ \text{Reduction %} = \frac{\text{Original} - \text{New}}{\text{Original}} \times 100 \]

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1. What is a Percentage Reduction Calculator?

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

Purpose: It helps quantify reductions in various contexts like prices, quantities, measurements, or performance metrics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Reduction %} = \frac{\text{Original} - \text{New}}{\text{Original}} \times 100 \]

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 Percentage Reduction Calculation

Details: This calculation is essential for analyzing cost savings, performance improvements, efficiency gains, and comparing changes over time.

4. Using the Calculator

Tips: Enter the original value and new value (which must be less than or equal to the original). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What does a negative result mean?
A: A negative result indicates an increase rather than a reduction, as the new value is greater than the original.

Q2: Can I use this for percentage increase?
A: Yes, when the new value is greater than the original, the result will show a negative percentage (indicating an increase).

Q3: What's the maximum percentage reduction possible?
A: The maximum is 100%, which occurs when the new value is zero (complete reduction to nothing).

Q4: How is this different from percentage difference?
A: Percentage reduction specifically measures decrease from original to new, while percentage difference can measure any change (increase or decrease) relative to the average of the two values.

Q5: Why multiply by 100 in the formula?
A: Multiplying by 100 converts the decimal result to a percentage (e.g., 0.25 becomes 25%).

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