1. What is Percentage Calculation?

Percentage calculation converts a fraction (a/b) into a percentage by multiplying by 100. It's a fundamental mathematical operation used to express proportions and comparisons.

2. How Does the Calculator Work?

The calculator uses the percentage formula:

Where:

• \( a \) — Numerator (part of the whole)
• \( b \) — Denominator (the whole)
• \( p \) — Resulting percentage

Explanation: The formula shows what portion the numerator is of the denominator, expressed as a percentage (out of 100).

3. Importance of Percentage Calculation

Details: Percentages are essential in statistics, finance, science, and everyday life for comparing proportions, calculating discounts, expressing probabilities, and more.

4. Using the Calculator

Tips: Enter both numerator and denominator as positive numbers. The denominator cannot be zero. Results are rounded to 2 decimal places.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: Division by zero is undefined. The calculator requires a non-zero denominator.

Q2: Can I use decimal numbers?
A: Yes, both numerator and denominator can be decimal numbers for precise calculations.

Q3: How is this different from percentage change?
A: This calculates a simple proportion. Percentage change compares the difference between two values relative to the original value.

Q4: What's the maximum percentage possible?
A: There's no theoretical maximum. A percentage over 100% means the numerator exceeds the denominator.

Q5: How do I convert percentage back to fraction?
A: Divide the percentage by 100 to get the decimal fraction (e.g., 75% = 0.75 = 3/4).