Percentage Change Formula:
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Percentage change measures the degree of change over time and is used to compare the relative change between an old value and a new value. It expresses the change as a percentage of the original value.
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, statistics, and many scientific fields to measure growth rates, price changes, performance improvements, and other comparative metrics.
Tips: Enter both old and new values. The calculator will show the percentage increase or decrease. Note that the old value cannot be zero (division by zero is undefined).
Q1: What does a negative percentage change mean?
A: A negative percentage indicates a decrease from the old value to the new value.
Q2: How is percentage change different from percentage difference?
A: Percentage change compares a new value to an old value, while percentage difference compares any two values without reference to which is newer.
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: 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%.
Q5: How do I interpret a percentage decrease?
A: A percentage decrease shows how much a quantity has reduced relative to its original amount. For example, a 20% decrease means the new value is 80% of the original.