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Percentage Calculator

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 determines what percentage one number (the part) is of another number (the whole).

Purpose: It helps in various calculations from simple math problems to financial analysis and statistical measurements.

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, financial calculations, and many real-world applications.

4. Using the Calculator

Tips: Enter the part and whole values. The whole must be greater than zero. The result will be shown as a percentage.

5. Frequently Asked Questions (FAQ)

Q1: What if my whole is zero?
A: Division by zero is undefined. The whole must be greater than zero for a valid calculation.

Q2: Can the part be larger than the whole?
A: Yes, this will result in a percentage greater than 100%, indicating the part exceeds the whole.

Q3: How precise are the results?
A: Results are shown with 2 decimal places for precision, but you can enter values with more decimal places if needed.

Q4: Can I calculate percentage decrease?
A: Yes, by making the part smaller than the original whole value.

Q5: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates a value below which a given percentage falls in a distribution.

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