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Percentage Decrease Calculator

Percentage Decrease Formula:

\[ \%\ Decrease = \frac{(Old - New)}{Old} \times 100 \]

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1. What is a Percentage Decrease Calculator?

Definition: This calculator measures the relative decrease between an old value and a new value, expressed as a percentage.

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

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \%\ Decrease = \frac{(Old - New)}{Old} \times 100 \]

Where:

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

3. Importance of Percentage Decrease Calculation

Details: Percentage decrease is widely used in finance, economics, science, and everyday life to compare reductions across different scales.

4. Using the Calculator

Tips: Enter the original (old) value and the new value. The old value must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What does a negative result mean?
A: A negative percentage decrease indicates an increase (when new value > old value).

Q2: How is this different from percentage difference?
A: Percentage decrease specifically measures reduction from original value, while percentage difference compares any two values.

Q3: What's the maximum possible percentage decrease?
A: The maximum decrease is 100% (when new value = 0).

Q4: Can I use this for percentage increase calculations?
A: Yes, if new value > old value, the result will show as negative (indicating increase).

Q5: Why is the old value in the denominator?
A: This establishes the original value as the reference point for measuring the change.

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