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Percentage Reduction Calculator

Percentage Reduction Formula:

\[ \% = \frac{(Old - New)}{Old} \times 100 \]

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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 performance indicators.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \% = \frac{(Old - New)}{Old} \times 100 \]

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 Reduction Calculation

Details: This calculation is essential for analyzing cost savings, performance improvements, efficiency gains, and comparing changes over time.

4. Using the Calculator

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

Q2: How do I interpret a 0% result?
A: 0% means there was no change between the old and new values.

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

Q4: Can I use this for percentage increase calculations?
A: Yes, if the new value is larger than the old, the result will show as a negative percentage (which represents an increase).

Q5: How precise are the results?
A: Results are shown with 2 decimal places for precision in most business and scientific applications.

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