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Percentage Decrease Calculator

Percentage Decrease Formula:

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

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1. What is a Percentage Decrease Calculator?

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

Purpose: It helps quantify reductions in values like prices, quantities, or measurements as a percentage change.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

3. Importance of Percentage Decrease Calculation

Details: Percentage decrease helps analyze reductions in sales, prices, performance metrics, or any measurable quantity over time.

4. Using the Calculator

Tips: Enter the original (old) value and the new value. The old value must be greater than 0 and greater than or equal to the new value.

5. Frequently Asked Questions (FAQ)

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

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

Q3: What's the maximum possible percentage decrease?
A: The maximum decrease is 100%, which occurs when the new value is 0.

Q4: Can I use this for percentage increase calculations?
A: No, this calculator only measures decreases. Use a percentage increase calculator for growth measurements.

Q5: Why is the old value in the denominator?
A: Using the old value as the base provides context for how significant the decrease is relative to the original amount.

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