Percentage Increase Formula:
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Percentage increase measures how much a quantity has grown relative to its original value, expressed as a percentage. It's commonly used in finance, economics, statistics, and everyday life to track growth or change.
The calculator uses the percentage increase formula:
Where:
Explanation: The formula calculates the difference between new and old values, divides by the original value to get relative change, then multiplies by 100 to convert to percentage.
Details: Percentage increase is crucial for understanding growth rates in business (sales, profits), investments (stock performance), demographics (population growth), and scientific measurements.
Tips: Enter both old and new values as positive numbers. The old value must be greater than zero (division by zero is undefined).
Q1: What if my result is negative?
A: A negative result indicates a percentage decrease rather than increase.
Q2: How is this different from percentage points?
A: Percentage increase is relative to the original value, while percentage points measure absolute difference between two percentages.
Q3: What's the maximum possible percentage increase?
A: There's no upper limit - percentage increase can be any positive value (including over 100%).
Q4: How do I calculate percentage increase over multiple periods?
A: For compound growth, use the formula for each period sequentially or use exponential growth formulas.
Q5: Why is the old value in the denominator?
A: This makes the increase relative to the starting point, allowing meaningful comparisons between different scales.