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Percentage Reduction Calculator

Percentage Reduction Formula:

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

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1. What is a Percentage Reduction Calculator?

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

Purpose: It helps quantify reductions in metrics like prices, quantities, measurements, or any comparable values over time.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

3. Importance of Percentage Reduction Calculation

Details: This calculation is essential for analyzing cost savings, performance improvements, efficiency gains, and other comparative metrics.

4. Using the Calculator

Tips: Enter the original (old) value and the reduced (new) value. Both must be positive numbers, and new must be ≤ old.

5. Frequently Asked Questions (FAQ)

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

Q2: Can I use this for percentage increase?
A: Yes, if new > old, the result will show a negative percentage (which represents an increase).

Q3: Why must old value be greater than zero?
A: Division by zero is undefined, and percentages relative to zero are meaningless.

Q4: How precise are the results?
A: Results are shown to 2 decimal places for most practical applications.

Q5: What common applications does this have?
A: Useful for price discounts, weight loss, energy reduction, performance improvements, etc.

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