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Size Reduction Percentage Calculator

Size Reduction Formula:

\[ \% Reduction = \frac{(Original\ Size - New\ Size)}{Original\ Size} \times 100 \]

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1. What is a Size Reduction Percentage Calculator?

Definition: This calculator determines the percentage reduction when comparing an original size to a new, smaller size.

Purpose: It helps quantify size changes in various contexts like file compression, material processing, or dimensional changes.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \% Reduction = \frac{(Original\ Size - New\ Size)}{Original\ Size} \times 100 \]

Where:

Explanation: The difference between sizes is divided by the original size to get the relative reduction, then multiplied by 100 to convert to percentage.

3. Importance of Size Reduction Calculation

Details: This calculation helps evaluate efficiency gains, material savings, or performance improvements in various applications.

4. Using the Calculator

Tips: Enter both original and new sizes (unitless values). Original size must be greater than 0, and new size must be less than or equal to original size.

5. Frequently Asked Questions (FAQ)

Q1: Can this calculator handle increases in size?
A: No, this calculates reduction percentage only. For increases, you'd get a negative percentage.

Q2: What units should I use?
A: The calculator is unitless - just ensure both values use the same units (bytes, inches, pounds, etc.).

Q3: What does a 50% reduction mean?
A: It means the new size is half (50%) of the original size.

Q4: Can I use this for percentage change calculations?
A: This specifically calculates reduction. For general percentage change, a different formula is needed.

Q5: What if my new size is zero?
A: This would give 100% reduction (complete elimination), which is valid in some contexts.

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