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 to track growth in financial, statistical, and scientific contexts.
The calculator uses the percentage increase formula:
Where:
Explanation: The formula calculates the difference between new and old values, divides by the old value to get relative change, then converts to percentage by multiplying by 100.
Details: Percentage increase is essential for analyzing growth rates, comparing changes across different scales, and making data-driven decisions in business, economics, and research.
Tips: Enter both new and old values as positive numbers. The old value cannot be zero (division by zero is undefined). Results are rounded to 2 decimal places.
Q1: What's the difference between percentage increase and absolute increase?
A: Absolute increase is the simple difference (new - old), while percentage increase shows the change relative to the original value.
Q2: Can percentage increase be negative?
A: Yes, if the new value is smaller than the old value, the result is negative, indicating a percentage decrease.
Q3: How do I interpret a 100% increase?
A: A 100% increase means the value has doubled (become twice as large as the original).
Q4: Why do we multiply by 100 in the formula?
A: Multiplying by 100 converts the decimal result to a percentage, which is easier to understand and compare.
Q5: What's the maximum possible percentage increase?
A: There's no theoretical maximum. As the new value approaches infinity relative to the old value, the percentage increase approaches infinity.