Percentage Formula:
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Definition: Percentage represents a part per hundred. It's a way to express a number as a fraction of 100.
Purpose: Used in various fields like finance, statistics, and everyday life to compare proportions.
The calculator uses the formula:
Where:
Explanation: The part is divided by the whole to get a decimal, then multiplied by 100 to convert to a percentage.
Details: Percentages are fundamental in statistics, finance (interest rates), discounts, performance metrics, and data analysis.
Tips: Enter the part and whole values. The whole must be greater than zero. The result shows what percentage the part is of the whole.
Q1: What if my part is larger than the whole?
A: You'll get a percentage >100%, which means the part exceeds the whole (possible in growth comparisons).
Q2: Can I calculate percentage decrease?
A: Yes, when the part represents a decrease from the whole, you'll get a percentage <100%.
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 percentage points?
A: Percentage points represent absolute difference between percentages (e.g., 5% to 7% is a 2 percentage point increase).
Q5: What's the percentage if whole is zero?
A: Division by zero is undefined. The calculator requires whole > 0.