How to Calculate Percentage Increase

Percentage increase is a measure of how much a value has grown compared to its original amount. It expresses the change as a proportion of the starting value, converted to a percentage. For example, if a price goes from $80 to $100, the increase is $20, and the percentage increase is 25%. This concept is fundamental in finance (investment returns), business (revenue growth), economics (inflation), and daily life (price changes, salary raises).

The percentage increase formula is: Percentage Increase = ((New Value - Old Value) / Old Value) x 100 Breaking it down: 1. Subtract the old value from the new value to get the absolute change. 2. Divide the change by the old value to get the relative change. 3. Multiply by 100 to convert to a percentage. Example: Old = 200, New = 250 - Change = 250 - 200 = 50 - Relative change = 50 / 200 = 0.25 - Percentage increase = 0.25 x 100 = 25%

1. Dividing by the new value instead of the old value. Always use the original (starting) value as the base. 2. Confusing percentage increase with percentage points. A jump from 10% to 15% is a 5 percentage point increase but a 50% relative increase. 3. Forgetting to multiply by 100. The result of the division is a decimal (0.25), not a percentage (25%). 4. Using percentage increase when percentage difference is more appropriate. If neither value is the clear "original", use percentage difference instead.

- Salary raises: "I got a 10% raise" means your new salary is 110% of the old one. - Investment returns: If your portfolio went from $50,000 to $57,500, that is a 15% increase. - Price inflation: The CPI increased from 280 to 294, a 5% increase in the cost of living. - Business KPIs: Monthly active users grew from 10,000 to 12,500, a 25% increase.