ROI (Return on Investment) Calculator
Enter any two: Invested amount, Returned amount, or ROI %. The third updates instantly. See profit, ROI ratio, a quick summary, and a step-by-step derivation. Export your results as a PDF.
💼Invested amount (Cost)
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$
Invested amount must be ≥ 0.
✅Returned amount (Gain)
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$
Returned amount must be ≥ 0.
📈ROI
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%
ROI must be greater than -100%.
💰Profit (Gain − Cost)
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$
🧮ROI ratio (decimal)
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⚡Quick summary
Inputs detected
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ROI
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Profit
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Core relation: ROI = (Gain − Cost) / Cost and Gain = Cost × (1 + ROI), with ROI as a decimal. In percent, multiply ROI by 100.
🧾Step-by-step derivation
Return on investment:
ROI = (G − C) / C, where G = returned amount (gain) and C = invested amount (cost).Rearrangements:
G = C × (1 + ROI) | C = G / (1 + ROI)Substitute:
…Solve:
…
📚Reference table & sources
| Topic | Summary | Source |
|---|---|---|
| ROI definition | ROI = (Gain − Cost) / Cost; usually expressed as a percentage. |
Investopedia — Return on Investment (ROI) |
| Usage notes | Simple profitability measure; does not adjust for risk, time value, or cash-flow timing. | CFI — ROI Overview |
Links are for background reading; the calculator computes everything directly.