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Percentage Calculator Online Tool

Percentage Formula:

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

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1. What is a Percentage Calculator?

Definition: This calculator computes the percentage that one number represents of another number.

Purpose: It helps in determining proportions, ratios, and relative values in various fields including finance, statistics, and everyday calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The part is divided by the whole to get a decimal value, which is then multiplied by 100 to convert it to a percentage.

3. Importance of Percentage Calculation

Details: Percentages are fundamental in comparing proportions, analyzing data, calculating discounts, determining growth rates, and many other applications.

4. Using the Calculator

Tips: Enter the part and whole values (both unitless numbers). The whole must be greater than zero to avoid division by zero.

5. Frequently Asked Questions (FAQ)

Q1: What if my part is larger than the whole?
A: The calculator will return a percentage greater than 100%, indicating the part exceeds the whole.

Q2: Can I calculate percentage decrease?
A: Yes, when the part represents a decrease from the whole, the percentage will be negative.

Q3: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates a value below which a certain percentage of data falls.

Q4: How do I calculate reverse percentages?
A: To find the whole given a part and percentage, use: Whole = (Part × 100) / Percentage

Q5: Why does the whole need to be greater than zero?
A: Division by zero is mathematically undefined, so the calculator requires a positive whole value.

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