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 value.
The calculator uses the percentage change formula:
Where:
Explanation: The formula calculates the relative difference between two values and expresses it as a percentage of the original value.
Details: Percentage change is widely used in finance, economics, statistics, and business to measure growth rates, price changes, performance improvements, and other comparative analyses.
Tips: Enter both old and new values. The old value cannot be zero as division by zero is undefined. Positive results indicate increase, negative results indicate 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: How is percentage change different from percentage difference?
A: Percentage change compares two values over time (before and after), while percentage difference compares two different values at the same time.
Q3: 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%.
Q4: What if the old value is zero?
A: Percentage change cannot be calculated when the old value is zero because it would involve division by zero, which is undefined.
Q5: How is percentage change used in real-world applications?
A: It's used to calculate stock price changes, inflation rates, sales growth, population changes, and many other metrics where relative comparison is important.