1. What is Percentage Calculation?

Percentage calculation is a mathematical operation that expresses one number as a fraction of another number multiplied by 100. It's widely used to compare proportions in various fields including finance, statistics, and everyday life.

2. How Does the Calculator Work?

The calculator uses the percentage formula:

Where:

• \( num1 \) — The value you want to find the percentage for
• \( num2 \) — The total or reference value

Explanation: The formula calculates what portion num1 represents of num2, expressed as a percentage (out of 100).

3. Importance of Percentage Calculation

Details: Percentage calculations are fundamental in many areas including financial analysis (interest rates, profit margins), academic grading, statistical comparisons, and everyday situations like discounts and tips.

4. Using the Calculator

Tips: Enter both numbers (num1 and num2) as positive values. The calculator will determine what percentage num1 is of num2. For example, to find what percentage 25 is of 200, enter 25 as num1 and 200 as num2.

5. Frequently Asked Questions (FAQ)

Q1: What if my result is over 100%?
A: This means num1 is greater than num2. For example, if num1 is 150 and num2 is 100, the result will be 150%.

Q2: Can I calculate percentage decrease?
A: Yes, this calculator works for both increases and decreases. For decreases, num1 will be smaller than num2.

Q3: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates a value below which a certain percentage of observations fall.

Q4: How do I calculate reverse percentages?
A: To find the original number given a percentage, you would rearrange the formula: original number = (percentage/100) × total.

Q5: Why do I sometimes get very small decimal percentages?
A: This occurs when num1 is very small compared to num2. For example, 1 out of 1000 is 0.1%.