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Percentage Calculator

Percentage Formula:

\[ \text{Percentage} = \left( \frac{\text{Obtained}}{\text{Total}} \right) \times 100 \]

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1. What is Percentage Calculation?

Percentage is a mathematical concept that represents a number or ratio expressed as a fraction of 100. It is denoted using the percent sign (%). Percentages are widely used in everyday life to express proportions, discounts, interest rates, and more.

2. How Does the Calculator Work?

The calculator uses the percentage formula:

\[ \text{Percentage} = \left( \frac{\text{Obtained}}{\text{Total}} \right) \times 100 \]

Where:

Explanation: The formula calculates what portion of the total the obtained value represents, then converts it to a value out of 100.

3. Importance of Percentage Calculation

Details: Percentages are fundamental in finance, statistics, education grading, business analytics, and many other fields. They provide a standardized way to compare proportions regardless of the absolute numbers involved.

4. Using the Calculator

Tips: Enter the obtained value and total value as positive numbers. The total must be greater than zero. The calculator will automatically compute the percentage.

5. Frequently Asked Questions (FAQ)

Q1: What if my obtained value is greater than the total?
A: The calculator will still work and give you a percentage greater than 100%, which means you have more than the complete amount.

Q2: Can I calculate percentage decrease?
A: Yes, if your obtained value is less than the original total, the percentage will represent the decrease.

Q3: How precise is the calculation?
A: The calculator shows results rounded to 2 decimal places for clarity, but uses full precision in calculations.

Q4: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates the value below which a given percentage of observations fall.

Q5: Can I use this for percentage change calculations?
A: For percentage change between two values, you would need a different formula: ((New - Old)/Old) × 100.

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