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How To Calculate Percentage In Equation

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 used to compare quantities and express proportions in a standardized way.

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 (part) of the whole is represented as a percentage (out of 100).

3. Importance of Percentage Calculation

Details: Percentages are fundamental in statistics, finance, science, and everyday life for comparing proportions, calculating discounts, expressing changes, and more.

4. Using the Calculator

Tips: Enter both part and whole as positive numbers. The whole cannot be zero. The result will be shown as a percentage 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 a non-zero value for percentage calculation.

Q2: Can the part be larger than the whole?
A: Yes, this would result in a percentage greater than 100%, indicating the part exceeds the whole.

Q3: How is percentage different from fraction?
A: A fraction represents a part of a whole, while a percentage standardizes this as parts per hundred.

Q4: What are common uses of percentages?
A: Test scores, financial calculations (interest, discounts), statistics, probability, and many real-world measurements.

Q5: How to calculate percentage change?
A: Percentage change = [(New Value - Old Value)/Old Value] × 100

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