Percentage Change Formula:
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Percentage change measures the degree of change over time. It expresses the change between an old value and a new value as a percentage of the old value, showing whether the change is an increase or decrease.
The calculator uses the percentage change formula:
Where:
Explanation: The formula calculates the relative change between two values. A positive result indicates an increase, while a negative result indicates a decrease.
Details: Percentage change is widely used in finance, economics, statistics, and general data analysis to compare changes over time, assess growth rates, and make meaningful comparisons between different sized datasets.
Tips: Enter both old and new values. The old value cannot be zero (division by zero is undefined). The calculator will show both the magnitude and direction (increase/decrease) of the change.
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: How do I interpret a percentage change from 50 to 75?
A: This is a 50% increase (75-50=25, 25/50=0.5, 0.5×100=50%).
Q3: What if my old value is zero?
A: Percentage change is undefined when the old value is zero, as it would require division by zero.
Q4: What's the difference between percentage change and percentage points?
A: Percentage change measures relative change, while percentage points measure absolute difference between percentages (e.g., 5% to 7% is a 2 percentage point increase but a 40% increase).
Q5: 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%.