Percentage Change Formula:
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Definition: This calculator determines the percentage change between an old price and a new price.
Purpose: It helps individuals and businesses analyze price changes, whether for financial analysis, sales tracking, or economic studies.
The calculator uses the formula:
Where:
Explanation: The difference between new and old price is divided by the old price to get the relative change, then multiplied by 100 to convert to percentage.
Positive Value: Indicates a price increase (e.g., +15% means the price increased by 15%)
Negative Value: Indicates a price decrease (e.g., -10% means the price decreased by 10%)
Tips: Enter both old and new prices in dollars. The old price must be greater than zero.
Q1: What does a 0% change mean?
A: It means there was no change between the old and new prices.
Q2: How do I calculate price reduction percentage?
A: The calculator shows negative percentages for price reductions automatically.
Q3: Why can't the old price be zero?
A: Division by zero is mathematically undefined, so we need a positive starting value.
Q4: Can I use this for non-monetary values?
A: Yes, it works for any numerical values where you want to measure percentage change.
Q5: How is this different from percentage difference?
A: Percentage change compares a new value to an old value, while percentage difference compares any two values symmetrically.