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Percentage Reduction Calculator (UK)

Percentage Reduction Formula:

\[ \text{Reduction} = \left( \frac{\text{Original} - \text{Reduced}}{\text{Original}} \right) \times 100 \]

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1. What is a Percentage Reduction Calculator?

Definition: This calculator determines the percentage reduction between an original value and a reduced value.

Purpose: It helps quantify decreases in values such as prices, quantities, or measurements in percentage terms.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Reduction} = \left( \frac{\text{Original} - \text{Reduced}}{\text{Original}} \right) \times 100 \]

Where:

Explanation: The difference between original and reduced values is divided by the original value, then multiplied by 100 to convert to percentage.

3. Importance of Percentage Reduction Calculation

Details: Percentage reduction is crucial for financial analysis, price comparisons, performance measurement, and statistical analysis.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What does a 0% reduction mean?
A: A 0% reduction means the reduced value is identical to the original value (no change).

Q2: What does a 100% reduction mean?
A: A 100% reduction means the reduced value is zero (complete elimination).

Q3: Can the reduced value be higher than the original?
A: No, this calculator is for reductions only. For increases, use a percentage increase calculator.

Q4: How precise are the results?
A: Results are shown to 2 decimal places for percentage values.

Q5: What are common applications of this calculation?
A: Common uses include calculating price discounts, budget cuts, weight loss percentages, and efficiency improvements.

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