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Percentage of Decrease Calculator

Percentage Decrease Formula:

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

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1. What is a Percentage Decrease Calculator?

Definition: This calculator determines the percentage decrease between an original 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:

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

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 Decrease Calculation

Details: Percentage decrease is crucial for analyzing price reductions, performance drops, quantity changes, and other comparative metrics in business, finance, and science.

4. Using the Calculator

Tips: Enter the original value and new value. Both must be positive numbers, and the new value must be less than the original to calculate a decrease.

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 > original value).

Q2: How is this different from percentage difference?
A: Percentage decrease specifically measures reduction from original to new value, while percentage difference can be positive or negative.

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

Q4: How should I round the percentage result?
A: For most applications, rounding to 2 decimal places (as this calculator does) provides sufficient precision.

Q5: Can I use this for percentage increase calculations?
A: No, this calculator specifically calculates decreases. For increases, you would need a percentage increase calculator.

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