Percentage Formula:
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Percentage is a way to express a number as a fraction of 100. It is denoted using the percent sign (%). The percentage formula shows the relationship between a part and its whole expressed as a percentage.
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 it to a percentage.
Details: Percentages are used in everyday life for calculating discounts, interest rates, statistics, grades, and many other applications where relative comparison is needed.
Tips: Enter the part and whole numbers. Both must be positive numbers, and the whole cannot be zero. The result will show what percentage the part is of the whole.
Q1: What if my part is larger than the whole?
A: The calculator will still work, showing a percentage greater than 100%. This means the part exceeds the whole amount.
Q2: Can I calculate percentage decrease?
A: Yes, use the difference between original and new value as the part, and original value as the whole.
Q3: How do I calculate percentage of a percentage?
A: Multiply the percentages together (convert to decimals first) then multiply by 100.
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 percentage of data falls.
Q5: How precise are the calculations?
A: Results are rounded to 2 decimal places for clarity while maintaining reasonable precision.