Percentage Change Formula:
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Percentage change measures the degree of change over time, expressed as a percentage. It's used to compare how much a quantity has increased or decreased relative to its original value.
The calculator uses the percentage change formula:
Where:
Explanation: The formula calculates the difference between new and old values, divides by the old value to get relative change, then multiplies by 100 to convert to percentage.
Details: Percentage change is widely used in finance, economics, statistics, and science to measure growth rates, price changes, performance improvements, and other comparative metrics.
Tips: Enter both old and new values. The old value must be greater than zero. The calculator will show percentage increase (positive) or decrease (negative).
Q1: What does a negative percentage change mean?
A: A negative percentage indicates a decrease from the old value to the new value.
Q2: What if the old value is zero?
A: The calculation is undefined when old value is zero, as division by zero is impossible.
Q3: How is percentage change different from percentage points?
A: Percentage change measures relative change from an original value, while percentage points measure absolute difference between two percentages.
Q4: Can percentage change be more than 100%?
A: Yes, when the new value is more than double the old value, the percentage change exceeds 100%.
Q5: How do I interpret a percentage decrease?
A: A 20% decrease means the new value is 80% of the original (100% - 20% = 80%).