Home Back

How to Calculate a Percentage from 2 Numbers

Percentage Formula:

\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \]

(unitless)
(unitless)

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Percentage Calculation?

Percentage calculation is a mathematical operation that expresses a number as a fraction of 100. It is commonly used to compare proportions or express ratios in a standardized way.

2. How Does the Calculator Work?

The calculator uses the percentage formula:

\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \]

Where:

Explanation: The formula divides the part by the whole to get a decimal, then multiplies by 100 to convert it to a percentage.

3. Importance of Percentage Calculation

Details: Percentages are fundamental in statistics, finance, science, and everyday life for comparing values, tracking changes, and making relative measurements.

4. Using the Calculator

Tips: Enter the part and whole values (both must be positive numbers, and whole cannot be zero). The calculator will compute what percentage the part is of the whole.

5. Frequently Asked Questions (FAQ)

Q1: What if my part is larger than the whole?
A: The calculator will still work, giving you a percentage greater than 100%, which means 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: How precise are the results?
A: Results are rounded to 2 decimal places for readability while maintaining reasonable precision.

Q4: What if I get a divide by zero error?
A: The calculator prevents this by requiring whole > 0. In mathematics, division by zero is undefined.

Q5: Can I calculate percentage of percentage?
A: Yes, the calculator works the same way - just treat the first percentage as your "part" and the reference percentage as your "whole".

Percentage Calculator© - All Rights Reserved 2025