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Find the percentage increase between an old value and a new, larger value.
Find the percentage increase between an old value and a new, larger value.
Enter values above and click Calculate — results will appear here with the formula explained.
Percentage increase measures growth relative to where you started. Subtract the original value from the new value, divide by the original value, and multiply by 100. Using the absolute value of the original in the divisor handles negative baselines (common in profit/loss, temperature and portfolio contexts) without sign confusion.
Dividing by the original value matters because the same absolute change represents very different growth: rising from 50 to 75 is a 50% increase, while rising from 500 to 525 is only a 5% increase even though both grew by 25 units. Always anchor percentage claims to their base — '$25 more' without the starting figure is meaningless.
From-zero is undefined, not 0% or 'infinite' in any actionable sense: every positive number is infinitely larger than zero as a percentage, which conveys no information. When baselines are zero (new product, first-year revenue), quote the absolute difference alongside any percentage framing — 'from $0 to $10k in quarter one' — and resume percentage reporting once the base is non-zero.
Large bases produce deceptively small percentages and small bases produce deceptively large ones, which is how growth stories mislead: a $1M business adding $200k grew 20%; a $10k business adding $10k grew 100% but added 20× less. Investors compare absolute dollars alongside percentages for exactly this reason — growth rate without scale is theater.
Increase versus percentage-point increase is the trap behind most misleading headlines: if a rate rises from 20% to 30%, that is a 10-percentage-point increase but a 50% relative increase (10 ÷ 20). Poll swings, interest-rate moves and market-share stories live or die on this distinction — always check which denominator a claim uses.
Chained increases multiply, never add: 10% then 10% is 21% total (1.10 × 1.10 = 1.21), not 20%; 50% then 50% is 125%, not 100%. Compound growth questions — salary over years, inflation over decades, portfolio over cycles — multiply each period's factor. Adding percentages sequentially understates the true cumulative change, sometimes dramatically.
Find the percentage increase between an old value and a new, larger value. Formula: increase % = ((new − original) ÷ |original|) × 100. Example: A salary rises from $52,000 to $57,200.
Percentage increase measures growth relative to where you started. Subtract the original value from the new value, divide by the original value, and multiply by 100. Using the absolute value of the original in the divisor handles negative baselines (common in profit/loss, temperature and portfolio contexts) without sign confusion.
Dividing by the original value matters because the same absolute change represents very different growth: rising from 50 to 75 is a 50% increase, while rising from 500 to 525 is only a 5% increase even though both grew by 25 units. Always anchor percentage claims to their base — '$25 more' without the starting figure is meaningless.
From-zero is undefined, not 0% or 'infinite' in any actionable sense: every positive number is infinitely larger than zero as a percentage, which conveys no information. When baselines are zero (new product, first-year revenue), quote the absolute difference alongside any percentage framing — 'from $0 to $10k in quarter one' — and resume percentage reporting once the base is non-zero.
Large bases produce deceptively small percentages and small bases produce deceptively large ones, which is how growth stories mislead: a $1M business adding $200k grew 20%; a $10k business adding $10k grew 100% but added 20× less. Investors compare absolute dollars alongside percentages for exactly this reason — growth rate without scale is theater.
Increase versus percentage-point increase is the trap behind most misleading headlines: if a rate rises from 20% to 30%, that is a 10-percentage-point increase but a 50% relative increase (10 ÷ 20). Poll swings, interest-rate moves and market-share stories live or die on this distinction — always check which denominator a claim uses.
Chained increases multiply, never add: 10% then 10% is 21% total (1.10 × 1.10 = 1.21), not 20%; 50% then 50% is 125%, not 100%. Compound growth questions — salary over years, inflation over decades, portfolio over cycles — multiply each period's factor. Adding percentages sequentially understates the true cumulative change, sometimes dramatically.
A salary rises from $52,000 to $57,200. The difference is $5,200 and 5,200 ÷ 52,000 = 0.1, so the raise is exactly 10%. A chained case: revenue growing 10% yearly for 3 years on $100k → $110k → $121k → $133.1k — a 33.1% total increase, not 30% — showing why growth compounds rather than adds.
Formulas are standard public references (see our methodology). External standards are cited in the text where they apply.
Last reviewed: September 2026 · Report an error