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Calculate Percent Reduction

Percent Reduction Formula:

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

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1. What is Percent Reduction?

Percent reduction measures the relative decrease between an old value and a new value, expressed as a percentage of the old value. It's commonly used to evaluate performance improvements, cost savings, or efficiency gains.

2. How Does the Calculator Work?

The calculator uses the percent reduction formula:

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

Where:

Explanation: The formula calculates what percentage the reduction represents relative to the original value.

3. Importance of Percent Reduction

Details: Percent reduction is widely used in business, finance, science, and engineering to quantify improvements, cost savings, or performance changes in a standardized way that allows for easy comparison across different scales.

4. Using the Calculator

Tips: Enter both old and new values. The old value must be greater than zero. The new value can be zero (representing 100% reduction) but cannot be negative.

5. Frequently Asked Questions (FAQ)

Q1: What does a negative percent reduction mean?
A: A negative result indicates an increase rather than a reduction, meaning the new value is larger than the old value.

Q2: How is this different from percentage change?
A: Percent reduction specifically measures decreases, while percentage change can be either positive (increase) or negative (decrease).

Q3: What's the maximum possible percent reduction?
A: The maximum is 100%, which occurs when the new value is zero (complete elimination).

Q4: When would I use absolute vs. percent reduction?
A: Use absolute reduction (simple difference) when the actual amount matters more than relative change. Use percent reduction when comparing changes across different scales.

Q5: Can I calculate percent reduction between percentages?
A: Yes, the formula works the same way whether your inputs are percentages, dollar amounts, or other units.

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