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Calculating Percentages

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 determines what portion a part is of a whole, expressed as a value out of 100. It's a fundamental concept used in many real-world applications.

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 to a percentage.

3. Importance of Percentage Calculation

Details: Percentages are used in statistics, finance, discounts, grades, and many other areas where relative proportions need to be compared.

4. Using the Calculator

Tips: Enter the part and whole values in the same units. The whole must be greater than zero. The part can be zero or positive.

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 original and new value as the "part" and original value as the "whole".

Q3: How is percentage different from percentile?
A: Percentage is a proportion out of 100, while percentile indicates relative standing in a distribution.

Q4: What about percentage points vs percentages?
A: Percentage points refer to absolute differences between percentages, not relative changes.

Q5: How do I calculate the original value from a percentage?
A: Rearrange the formula: Whole = (Part × 100) / Percentage

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