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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 calculation is a mathematical operation that expresses a number as a fraction of 100. It is widely used in various fields including finance, statistics, and everyday life to compare proportions and ratios.

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 calculates what portion a value represents out of a total, expressed as a percentage.

3. Importance of Percentage Calculation

Details: Percentage calculations are essential for financial analysis, academic grading, statistical data interpretation, discount calculations, and many real-world applications where relative comparisons are needed.

4. Using the Calculator

Tips: Enter the part value and whole value. Both values must be positive numbers, and the whole value must be greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What if the part is larger than the whole?
A: The percentage will be greater than 100%, indicating that the part exceeds the total reference value.

Q2: Can I calculate percentage decrease?
A: Yes, by using the difference between original and new value as the part, and original value as the whole.

Q3: What are common percentage applications?
A: Common applications include calculating discounts, interest rates, test scores, statistical data, and performance metrics.

Q4: How to handle decimal percentages?
A: The calculator automatically handles decimal values and provides results with two decimal places for precision.

Q5: What if the whole value is zero?
A: Division by zero is mathematically undefined. The calculator requires the whole value to be greater than zero.

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