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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 Percentage Calculation?

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

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 value, then multiplies by 100 to convert it to a percentage.

3. Importance of Percentage Calculation

Details: Percentages are used in many real-world situations including finance (interest rates), statistics (data analysis), academics (test scores), and everyday comparisons (discounts).

4. Using the Calculator

Tips: Enter the part and whole values (both must be positive numbers, and whole cannot be zero). The calculator will automatically compute the percentage.

5. Frequently Asked Questions (FAQ)

Q1: What if my part is larger than the whole?
A: The calculator will still work and give you a percentage greater than 100%, which means the part exceeds the whole.

Q2: Can I calculate percentage decrease?
A: Yes, use this same formula. A percentage decrease would show as a lower part compared to the original whole.

Q3: How precise are the results?
A: Results are rounded to 2 decimal places for readability while maintaining reasonable precision.

Q4: 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 of observations fall.

Q5: Can I use this for percentage change calculations?
A: For percentage change between two values, you would need a different formula: ((New - Old)/Old) × 100.

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