Percentage Formula:
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Percentage calculation is a mathematical operation that expresses a number as a fraction of 100. It's used to compare values relative to a base (original) value.
The calculator uses the percentage formula:
Where:
Explanation: The formula calculates what portion the difference represents of the original value, expressed as a percentage (out of 100).
Details: Percentage calculations are fundamental in finance (interest rates), statistics (changes), business (profit margins), and everyday comparisons (discounts, increases).
Tips: Enter the original number and the difference (can be positive or negative). The original value cannot be zero (division by zero is undefined).
Q1: What if my difference is negative?
A: A negative difference will result in a negative percentage, indicating a decrease from the original value.
Q2: How is this different from percentage points?
A: Percentage points measure absolute difference between percentages, while this calculates relative difference between numbers.
Q3: What's the difference between percentage increase and decrease?
A: Increase shows growth (positive percentage), decrease shows reduction (negative percentage) from the original value.
Q4: Can I calculate percentage of zero?
A: No, division by zero is mathematically undefined. You'll need a non-zero original value.
Q5: How precise are the results?
A: Results are rounded to 2 decimal places for readability while maintaining reasonable precision.