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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?

A percentage calculator computes what portion a number (part) is of another number (whole) expressed as a percentage. It's a fundamental mathematical tool used in various fields including finance, statistics, and everyday calculations.

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: Percentage calculations are essential for understanding proportions, comparing quantities, calculating discounts, analyzing data, and making informed decisions in business and personal finance.

4. Using the Calculator

Tips: Enter the part and whole numbers (must be positive, whole cannot be zero). The calculator will automatically compute the percentage. For accuracy, use decimal points when needed.

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%, indicating the part exceeds the whole.

Q2: How do I calculate percentage increase?
A: Use (New Value - Original Value)/Original Value × 100. This calculator shows basic percentage, not change.

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 percentage of data falls.

Q4: Can I calculate percentage of percentage?
A: Yes, mathematically you can, but ensure this makes sense in your context as it may represent compound proportions.

Q5: Why do I sometimes get many decimal places?
A: When division isn't exact, decimals appear. Round to desired precision based on your needs.

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