1. What is the Reduced by Percentage Calculation?

The Reduced by Percentage calculation determines the new value after applying a percentage reduction to an original value. This is commonly used in discounts, depreciation calculations, and performance reductions.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( \text{new} \) — The reduced value (unitless)
• \( \text{old} \) — The original value (unitless)
• \( \text{percent} \) — The percentage reduction (%)

Explanation: The formula calculates what remains after subtracting the specified percentage of the original value.

3. Importance of Percentage Reduction

Details: Percentage reduction calculations are essential in financial analysis, retail pricing, performance metrics, and scientific measurements where relative changes need to be quantified.

4. Using the Calculator

Tips: Enter the original value (must be ≥ 0) and the reduction percentage (must be between 0-100). The calculator will show the reduced value.

5. Frequently Asked Questions (FAQ)

Q1: Can the percentage be greater than 100%?
A: No, a reduction percentage greater than 100% would result in a negative value, which may not make sense in most practical applications.

Q2: How is this different from percentage difference?
A: This calculates an absolute reduction, while percentage difference compares two values relative to their average.

Q3: Can I use this for price discounts?
A: Yes, this is exactly how percentage discounts are calculated in retail.

Q4: What if I want to increase by a percentage instead?
A: Use the formula: new = old × (1 + percent/100) for percentage increases.

Q5: How precise are the calculations?
A: Results are rounded to 2 decimal places for readability while maintaining sufficient precision for most applications.