1. What is Percentage Reduction?

Percentage reduction measures how much a quantity has decreased relative to its original value, expressed as a percentage. It's commonly used in finance, statistics, science, and everyday comparisons.

2. How Does the Calculator Work?

The calculator uses the percentage reduction formula:

Where:

• \( Old \) — Original value
• \( New \) — New value after reduction

Explanation: The formula calculates the difference between old and new values, divides by the original value to get the proportional change, then converts to percentage by multiplying by 100.

3. Importance of Percentage Reduction

Details: Percentage reduction is crucial for comparing changes across different scales, analyzing trends, measuring improvements or declines, and making data-driven decisions in various fields.

4. Using the Calculator

Tips: Enter both old and new values in the same units. The old value must be greater than zero. The new value should be less than or equal to the old value for a reduction.

5. Frequently Asked Questions (FAQ)

Q1: What if my new value is higher than the old value?
A: The calculator will show a negative percentage, indicating an increase rather than a reduction.

Q2: Can I use this for percentage increase calculations?
A: Yes, when the new value is greater than the old, it effectively calculates percentage increase.

Q3: Why is the old value required to be greater than zero?
A: Division by zero is undefined in mathematics, so the formula requires a positive original value.

Q4: How precise are the results?
A: Results are rounded to 2 decimal places for readability while maintaining reasonable precision.

Q5: Can I compare reductions across different scales?
A: Yes, percentage reduction normalizes changes, allowing comparison across different magnitudes.