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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?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". Percentages are used to express proportions, rates, and comparisons.

2. How Does the Calculator Work?

The calculator uses the basic percentage formula:

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

Where:

Explanation: The formula calculates what portion the part is of the whole, then converts that fraction to a percentage by multiplying by 100.

3. Importance of Percentage Calculation

Details: Percentages are fundamental in mathematics, finance, statistics, and everyday life. They allow for easy comparison between different quantities and are used in calculating discounts, interest rates, statistics, and more.

4. Using the Calculator

Tips: Enter the part and whole values. The whole must be greater than zero. The calculator will automatically compute the 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 the calculation to work.

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 rounded to two decimal places for readability while maintaining reasonable precision.

Q4: Can I calculate percentage change with this?
A: For percentage change between two values, you would need a different formula: ((New - Old)/Old) × 100.

Q5: What about percentage points vs percentages?
A: Percentage points refer to absolute differences between percentages, not to be confused with relative percentage changes.

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