Percentage Change Formula:
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Definition: This calculator measures the percentage increase or decrease between two values.
Purpose: It helps analyze changes in prices, quantities, measurements, or any numerical data over time.
The calculator uses the formula:
Where:
Explanation: The difference between new and old values is divided by the old value, then multiplied by 100 to convert to percentage.
Positive Result: Indicates an increase (e.g., 15% means 15% increase from old value).
Negative Result: Indicates a decrease (e.g., -8% means 8% decrease from old value).
Tips: Enter both old and new values. The old value cannot be zero (division by zero is undefined).
Q1: What's the difference between percentage change and percentage difference?
A: Percentage change compares new to old, while percentage difference compares any two values without directionality.
Q2: How do I interpret a 100% increase?
A: A 100% increase means the new value is double the old value (100% of the original added to itself).
Q3: What does a negative percentage change mean?
A: A negative result indicates a decrease from the old value to the new value.
Q4: Can I calculate percentage change when old value is zero?
A: No, the formula requires division by the old value, so it must be non-zero.
Q5: How is this different from percentage points?
A: Percentage change measures relative change, while percentage points measure absolute difference between percentages.