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 is commonly used in finance, economics, statistics, and everyday life to track growth, decline, or variation over time.
The calculator uses the percentage change formula:
Where:
Explanation: The formula calculates the relative difference between two values by finding the absolute change (new minus old), dividing by the original value, and converting to a percentage by multiplying by 100.
Details: Percentage change is essential for analyzing trends, comparing performance, measuring growth rates, and making data-driven decisions in business, finance, and research.
Tips: Enter the original value and the new value. The old value cannot be zero (division by zero is undefined). Positive results indicate increase, negative results indicate decrease.
Q1: What does a positive percentage change mean?
A: A positive percentage change indicates an increase from the old value to the new value.
Q2: What does a negative percentage change mean?
A: A negative percentage change indicates a decrease or reduction from the old value to the new value.
Q3: Can I calculate percentage change when the old value is zero?
A: No, the formula requires division by the old value, so it cannot be zero. In such cases, consider alternative measures of change.
Q4: How is percentage change different from percentage difference?
A: Percentage change compares two values over time (sequential), while percentage difference compares two values at the same time (simultaneous).
Q5: Where is percentage change commonly used?
A: Stock market returns, sales growth, population changes, inflation rates, academic performance, and many other fields where relative change matters.