Percentage Increase Calculator

Percentage Increase = ((New Value − Old Value) / Old Value) × 100. Always use the original (old) value in the denominator, not the new value. Example: a salary rises from $50,000 to $55,000. ((55,000 − 50,000) / 50,000) × 100 = 10% increase. For a decrease, the formula is the same — the result will simply be negative.

Multiply the original number by 1.20. Example: 20% increase on $85 = $85 × 1.20 = $102. Alternatively: find 20% of $85 (= $17) and add it to the original ($85 + $17 = $102). The multiplier method is faster for repeated calculations and works for any percentage: 35% increase = multiply by 1.35, 7.5% increase = multiply by 1.075.

Percentage points measure the absolute arithmetic difference between two percentages. Percentage increase measures the relative change. Example: interest rates rise from 2% to 3%. That is 1 percentage point increase, but a 50% percentage increase ((3 − 2) / 2 × 100 = 50%). Politicians and media often use percentage points when the percent change would sound more dramatic, or vice versa. Always clarify which is being reported.

Yes. A 100% increase means the value doubled. A 200% increase means it tripled. A 1,000% increase means it multiplied by 11. There is no mathematical upper limit on percentage increase. For example, if a stock goes from $5 to $50, that is a 900% increase. However, percentage decrease is capped at 100% for positive starting values (a value cannot decrease by more than its entire original amount).

Divide the new value by (1 + percentage/100). Example: after a 25% increase, a price is $125. Original = $125 / 1.25 = $100. For a 30% decrease that resulted in $70: original = $70 / 0.70 = $100. This reversal is essential for finding pre-tax prices, pre-raise salaries, or original prices after discounts. Our calculator shows this reverse change in the results.

Because the second 10% applies to a larger base. Starting with $100: after 10% increase = $110. Another 10% on $110 = $11 more, for a total of $121. That is 21% total, not 20%. To calculate compound percentage changes, multiply the multipliers: 1.10 × 1.10 = 1.21 = 21% total. This compounding effect is why investment returns and inflation accumulate faster than simple addition suggests.

Percentage change is one of the most fundamental metrics in finance. Stock returns are almost always expressed as percentage changes. Year-over-year revenue growth, profit margin improvement, and portfolio performance are all measured this way. One important caveat: a 50% loss requires a 100% gain to break even (not 50%), because the percentage gain is calculated on a smaller base. This asymmetry is why loss avoidance is critical in investing.

CAGR (Compound Annual Growth Rate) is the annualized percentage increase over a multi-year period. Formula: CAGR = (Final Value / Initial Value)^(1/n) − 1, where n = years. Example: investment grows from $1,000 to $2,000 over 5 years. CAGR = (2000/1000)^(1/5) − 1 = 2^0.2 − 1 = 0.1487 = 14.87%. CAGR smooths out year-to-year fluctuations and shows the consistent annual growth rate that would produce the same total result.

Formula: =(B1-A1)/A1 where A1 = original value and B1 = new value. Format the cell as percentage. Or use =(B1-A1)/ABS(A1) to handle negative original values correctly. For a column of percentage changes, use =(B2-B1)/B1 and drag down. To display with a + sign for increases: use the custom format +0.00%;-0.00%;0.00% in Format Cells. CAGR in Excel: =(End/Start)^(1/Years)-1.

Percentage increase measures change relative to the starting value. Percentage of measures one number as a proportion of another. Example: 30 is 75% of 40 (30/40 × 100 = 75%). But going from 30 to 40 is a 33.3% increase ((40−30)/30 × 100 = 33.3%). These are different calculations. "X% of Y" uses Y as the base; "percentage increase from X to Y" uses X as the base. Confusing the two leads to common arithmetic errors.