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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 used to compare proportions or show relative differences between quantities.

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 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 fundamental in many areas including finance, statistics, discounts, grades, and performance measurements. They provide a standardized way to compare different quantities.

4. Using the Calculator

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

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 the difference between original and new value as the "part" and original value as the "whole".

Q3: How do I calculate the part if I know the percentage and whole?
A: Rearrange the formula: Part = (Percentage × Whole) / 100

Q4: Why do I sometimes get many decimal places?
A: The calculator shows exact results. You can round to desired decimal places as needed.

Q5: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates the percentage of values below a certain point in a distribution.

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