Percentage Formula:
From: | To: |
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.
The calculator uses the percentage formula:
Where:
Explanation: The formula divides the smaller amount by the larger amount and multiplies by 100 to convert to a percentage.
Details: Percentage calculations are fundamental in finance, statistics, science, and everyday comparisons. They help normalize comparisons between different sized quantities.
Tips: Enter both amounts (smaller first, then larger). Both values must be positive numbers, and the smaller amount should not exceed the larger amount.
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%).