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Percent Decrease Calculator

Percent Decrease Formula:

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

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1. What is a Percent Decrease Calculator?

Definition: This calculator measures the percentage reduction between an original (old) value and a new value.

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

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 percentage.

3. Importance of Percent Decrease Calculation

Details: Percentage decrease helps compare relative changes across different scales, useful in finance, statistics, sales analysis, and scientific measurements.

4. Using the Calculator

Tips: Enter the original (old) value and the new value. Both must be positive numbers, and old value must be greater than zero.

5. Frequently Asked Questions (FAQ)

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

Q2: What's the maximum possible decrease percentage?
A: The maximum is 100% when the new value reaches zero.

Q3: How is this different from percentage difference?
A: Percentage decrease specifically measures reduction from original value, while percentage difference compares any two values without directionality.

Q4: Can I use this for percentage increase calculations?
A: Yes, when new value > old value, the result will be negative, representing an increase.

Q5: Why multiply by 100 in the formula?
A: This converts the decimal result (0-1) to a percentage (0%-100%) for easier interpretation.

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