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Calculate Percentage Between Two Amounts

Percentage Formula:

\[ \text{Percentage} = \left( \frac{\text{Smaller Amount}}{\text{Larger Amount}} \right) \times 100 \]

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1. What is Percentage Calculation?

Percentage calculation determines what portion one number is of another number, expressed as a percentage (parts per hundred). This is useful for comparing relative sizes of amounts.

2. How Does the Calculator Work?

The calculator uses the percentage formula:

\[ \text{Percentage} = \left( \frac{\text{Smaller Amount}}{\text{Larger Amount}} \right) \times 100 \]

Where:

Explanation: The formula divides the smaller amount by the larger amount and multiplies by 100 to convert to a percentage.

3. Importance of Percentage Calculation

Details: Percentage calculations are fundamental in finance, statistics, science, and everyday comparisons. They help normalize comparisons between different sized quantities.

4. Using the Calculator

Tips: Enter both amounts (smaller first, then larger). Both values must be positive numbers, and the smaller amount should not exceed the larger amount.

5. Frequently Asked Questions (FAQ)

Q1: What if my smaller amount is larger than my larger amount?
A: The calculator expects the first amount to be smaller. If you need to calculate what percentage a larger amount is of a smaller one, you should switch the inputs.

Q2: Can I use decimal numbers?
A: Yes, the calculator accepts decimal values for more precise calculations.

Q3: What's the difference between percentage and percentage points?
A: Percentage is relative to the base amount, while percentage points are absolute differences between percentages.

Q4: How is this different from percentage change?
A: This calculates the relative size of one amount compared to another, while percentage change measures the difference between two values over time.

Q5: Can I calculate percentages greater than 100%?
A: Not with this calculator. It's designed for cases where the first amount is a portion of the second amount (≤100%).

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