1. What is a Percentage Calculator?

Definition: This calculator computes the percentage that one number represents of another number.

Purpose: It helps determine proportions, ratios, and relative values in various contexts like finance, statistics, and everyday calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \% \) — Percentage value
• \( \text{Part} \) — The portion being measured
• \( \text{Whole} \) — The total or reference amount

Explanation: The part is divided by the whole to get a decimal value, which is then multiplied by 100 to convert it to a percentage.

3. Importance of Percentage Calculation

Details: Percentages are fundamental in comparing proportions, analyzing data, calculating discounts, determining success rates, and many other applications.

4. Using the Calculator

Tips: Enter the part and whole values (both must be positive numbers). The whole value must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What if my part is larger than the whole?
A: The calculator will show a percentage greater than 100%, which is valid when the part exceeds the whole.

Q2: Can I calculate percentage decrease?
A: Yes, use the difference between original and new value as the "part" and original value as the "whole".

Q3: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates relative standing in a distribution.

Q4: How do I calculate percentage of a total?
A: Use the specific category value as the part and the sum of all categories as the whole.

Q5: Why multiply by 100 in the formula?
A: This converts the decimal fraction (0-1) to a percentage (0-100) which is more intuitive for most people.