Percentage Change Formula:
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Percentage change measures the degree of change over time. It's used to compare the difference between an old and new value relative to the old value, expressed as a percentage.
The calculator uses the percentage change formula:
Where:
Explanation: The formula calculates the relative difference between two values, showing how much the new value has changed compared to the old value.
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 calculator will show the percentage increase (positive result) or decrease (negative result). The old value cannot be zero.
Q1: What does a negative percentage change mean?
A: A negative result indicates a decrease from the old value to the new value.
Q2: Why use absolute value for the denominator?
A: Using absolute value ensures the percentage change makes sense whether the old value was positive or negative.
Q3: 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 older.
Q4: What if the old value is zero?
A: Percentage change is undefined when the old value is zero, as division by zero is impossible.
Q5: Can percentage change exceed 100%?
A: Yes, percentage change can be any value. A change from 10 to 30 would be a 200% increase.