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What Percentage Reduction Calculator

Percentage Reduction Formula:

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

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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 metrics like prices, quantities, measurements, or performance indicators.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

3. Importance of Percentage Reduction Calculation

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

4. Using the Calculator

Tips: Enter the original value and new value (both unitless numbers). The original value must be greater than 0.

5. Frequently Asked Questions (FAQ)

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

Q2: Can I use this for percentage increase?
A: Yes, when new > original, the result will be negative, representing an increase.

Q3: Why is the original value in the denominator?
A: This normalizes the reduction relative to the starting point for meaningful comparisons.

Q4: What's the maximum possible reduction?
A: The maximum is 100% when the new value reaches zero.

Q5: How precise are the results?
A: Results are shown to 2 decimal places for precision in most applications.

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