1. What is Percentage Calculation?

Percentage calculation is a mathematical operation that determines what portion one quantity is of another quantity, expressed as a fraction of 100. It's a fundamental concept used in various fields including finance, statistics, and everyday life.

2. How Does the Calculator Work?

The calculator uses the percentage formula:

Where:

• \( a \) — The part or portion you want to find the percentage of
• \( b \) — The whole or total amount
• \( pct \) — The resulting percentage

Explanation: The formula divides the part by the whole and multiplies by 100 to convert the fraction to a percentage.

3. Importance of Percentage Calculation

Details: Percentages are essential for comparing proportions, calculating discounts, understanding statistics, analyzing data, and making informed decisions in business and personal finance.

4. Using the Calculator

Tips: Enter the part (a) and the whole (b) values. Both must be positive numbers, and the whole (b) cannot be zero. The result will be the percentage that a is of b.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates the value below which a given percentage of observations fall.

Q2: How do I calculate percentage increase or decrease?
A: For increase: ((New - Old)/Old) × 100. For decrease: ((Old - New)/Old) × 100.

Q3: What if my result is over 100%?
A: This means the part (a) is larger than the whole (b), which can happen in growth calculations or when comparing to an original value.

Q4: How is percentage different from fraction?
A: A fraction represents a part of a whole, while a percentage is a fraction expressed out of 100 for easier comparison.

Q5: Why multiply by 100 in the formula?
A: Multiplying by 100 converts the decimal fraction to a percentage, which is more intuitive for most people to understand.