Percentage Change Formula:
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Percentage change measures the relative difference between an old value and a new value, expressed as a percentage. It shows how much a quantity has increased or decreased compared to its original amount.
The calculator uses the percentage change formula:
Where:
Explanation: The formula calculates the difference between the new and old values, divides by the old value to get a relative change, then multiplies by 100 to convert to a percentage.
Details: Percentage change is widely used in finance, economics, science, and everyday life to compare changes over time, assess growth rates, and make relative comparisons between different-sized quantities.
Tips: Enter both old and new values in the same units. The old value must be greater than zero. Positive results indicate percentage increase, negative results indicate percentage decrease.
Q1: What does a negative percentage change mean?
A: A negative percentage change indicates a decrease from the old value to the new value.
Q2: Can percentage change be more than 100%?
A: Yes, if the new value is more than double the old value, the percentage change will exceed 100%.
Q3: What if my old value is zero?
A: Percentage change is undefined when the old value is zero, as division by zero is impossible.
Q4: How is percentage change different from percentage points?
A: Percentage change measures relative change from an original value, while percentage points measure absolute differences between percentages.
Q5: When is percentage change most useful?
A: It's most useful when comparing changes in values of different magnitudes or when the relative change is more important than the absolute change.