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Calculate Percentage From Two Numbers

Percentage Formula:

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

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1. What is Percentage Calculation?

Percentage calculation is a mathematical operation that expresses a number as a fraction of 100. It's used to compare proportions, show relative sizes, and 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. They allow easy comparison between different sized groups and standardized reporting of proportions.

4. Using the Calculator

Tips: Enter the part and whole numbers. Both must be positive numbers, and the whole cannot be zero. The result will show 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, showing a percentage greater than 100%, which means the part exceeds the whole.

Q2: Can I calculate percentage decrease?
A: Yes, use the difference between old and new values as the "part" and the original value as the "whole".

Q3: How precise are the results?
A: Results are rounded to 2 decimal places. For maximum precision, use the full decimal value in calculations.

Q4: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates a value's relative position in a dataset.

Q5: Can I calculate percentage of percentage?
A: Yes, but be careful to understand whether you're calculating a percentage of the original whole or of the first percentage.

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