Percentage Formula:
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A percentage calculator computes what portion a number (part) is of another number (whole) expressed as a percentage. It's a fundamental mathematical tool used in various fields including finance, statistics, and everyday calculations.
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: Percentage calculations are essential for understanding proportions, comparing quantities, calculating discounts, analyzing data, and making informed decisions in business and personal finance.
Tips: Enter the part and whole numbers (must be positive, whole cannot be zero). The calculator will automatically compute the percentage. For accuracy, use decimal points when needed.
Q1: What if my part is larger than the whole?
A: The calculator will still work, showing a percentage greater than 100%, indicating the part exceeds the whole.
Q2: How do I calculate percentage increase?
A: Use (New Value - Original Value)/Original Value × 100. This calculator shows basic percentage, not change.
Q3: What's the difference between percentage and percentile?
A: Percentage is a proportion out of 100, while percentile indicates a value below which a percentage of data falls.
Q4: Can I calculate percentage of percentage?
A: Yes, mathematically you can, but ensure this makes sense in your context as it may represent compound proportions.
Q5: Why do I sometimes get many decimal places?
A: When division isn't exact, decimals appear. Round to desired precision based on your needs.