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How To Calculate Percentage Calculator

Percentage Formula:

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

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1. What is Percentage Calculation?

Percentage is a way to express a number as a fraction of 100. It is denoted using the percent sign (%). The percentage formula shows the relationship between a part and its whole expressed as a percentage.

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 used in everyday life for calculating discounts, interest rates, statistics, grades, and many other applications where relative comparison is needed.

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%. This means the part exceeds the whole amount.

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 do I calculate percentage of a percentage?
A: Multiply the percentages together (convert to decimals first) then multiply by 100.

Q4: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates the value below which a percentage of data falls.

Q5: How precise are the calculations?
A: Results are rounded to 2 decimal places for clarity while maintaining reasonable precision.

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