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Percentage Calculator (Calculator Soup)

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 determine proportions, ratios, and relative values in various contexts like finance, statistics, and everyday calculations.

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 many areas including finance (interest rates), academics (grades), business (profit margins), and statistics (data analysis).

4. Using the Calculator

Tips: Enter the part and whole values (both must be positive numbers, and whole cannot be zero). The result will be shown as a 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 shown with 2 decimal places for most cases, but you can enter values with higher precision.

Q4: What's the difference between percentage and percent point?
A: A percentage is a proportion (e.g., 50%), while a percentage point is an absolute difference between percentages (e.g., 5 percentage points).

Q5: How do I calculate percentage change?
A: Use ((New Value - Old Value) / Old Value) × 100. This calculator focuses on simple percentage of part/whole.

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