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Percentage Decrease Calculator Online

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 analyze reductions in quantities like prices, measurements, or performance metrics.

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 get a percentage.

3. Importance of Percentage Decrease Calculation

Details: This calculation is essential for financial analysis, performance tracking, statistical comparisons, and business decision-making.

4. Using the Calculator

Tips: Enter the original value and new value (which must be ≤ original). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What does a negative result mean?
A: A negative result indicates the "new" value is actually larger than the original, representing an increase rather than decrease.

Q2: Can I use this for percentage increase?
A: Yes, when new > original, the result will be negative, representing an increase.

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

Q4: How is this different from percentage difference?
A: Percentage decrease is directional (original → new), while percentage difference is symmetrical.

Q5: Why multiply by 100?
A: To convert the decimal result (0-1) to a percentage (0%-100%) which is more intuitive.

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