1. What is a Percentage Calculator?

Definition: This calculator computes the percentage that one value (part) represents of another value (whole).

Purpose: It helps in various mathematical, financial, and statistical calculations where relative proportions need to be determined.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Part — The portion you want to find the percentage of (must be ≤ Whole)
• Whole — The total or reference amount (must be > 0)

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: Percentage calculations are fundamental in statistics, finance, discounts, grades, and many real-world applications to understand proportions.

4. Using the Calculator

Tips: Enter both part and whole values (must be positive numbers). The whole value cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: What if my part is larger than the whole?
A: The calculator will still work, giving a result >100%, which may indicate an error in your inputs for typical percentage calculations.

Q2: Why does the whole value need to be greater than zero?
A: Division by zero is mathematically undefined, so the whole must be positive.

Q3: How precise are the results?
A: Results are shown with 2 decimal places for most practical applications.

Q4: Can I calculate percentage decrease?
A: Yes, by making the part value smaller than the original whole value.

Q5: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates a position in a distribution (e.g., 90th percentile means scoring better than 90%).