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Percentage Calculator Online

Percentage Formula:

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

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1. What is a Percentage Calculator?

Definition: This calculator computes the percentage that one number represents of another number.

Purpose: It helps in various mathematical, financial, and statistical calculations where relative proportions need to be determined.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The part is divided by the whole to get a decimal value, which is then multiplied by 100 to convert it to a percentage.

3. Importance of Percentage Calculation

Details: Percentage calculations are fundamental in statistics, finance, science, and everyday life for comparing proportions and changes.

4. Using the Calculator

Tips: Enter the part and whole values (both must be positive numbers). The whole cannot be zero. Results are shown with two decimal places.

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 I calculate percentage decrease?
A: Yes, when the part is smaller than the whole, it represents a percentage decrease.

Q3: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates relative position in a distribution.

Q4: How do I calculate reverse percentages?
A: To find the whole given a part and percentage, use: Whole = (Part × 100)/Percentage.

Q5: Can percentages be more than 100%?
A: Yes, when the part exceeds the whole, the percentage will be greater than 100%.

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