Percentage Formula:
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The percentage calculation determines what portion a part is of a whole, expressed as a value out of 100. It's a fundamental mathematical concept used in many real-world applications.
The calculator uses the percentage formula:
Where:
Explanation: The formula divides the part by the whole to get a decimal, then multiplies by 100 to convert to a percentage.
Details: Percentages are used in statistics, finance, discounts, grades, scientific data, and many everyday situations to compare relative proportions.
Tips: Enter the part and whole as positive numbers. 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: The calculator will show a percentage greater than 100%, indicating the part exceeds the whole.
Q2: How do I calculate percentage increase?
A: Use (NewValue - OriginalValue)/OriginalValue × 100. This calculator shows simple proportion percentages.
Q3: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates a position in a distribution (e.g., 90th percentile means scoring higher than 90% of a group).
Q4: Can I calculate percentage of percentage?
A: Yes, but be careful with interpretation. 50% of 80% is 40% of the original whole.
Q5: Why do I get 0% when part is 0?
A: Zero part means zero percentage of the whole, which is mathematically correct.