Odds, Probability & Bankroll
Decimal odds to American
Decimal odds to American means converting a decimal betting price into the American moneyline format, where a positive number shows profit on a 100-unit stake and a negative number shows how much must be staked to win 100 units.
- Formula (x ≥ 2)
- American = 100 × (x − 1)
- Formula (x < 2)
- American = −100 / (x − 1)
- Example
- 2.750 decimal → +175 American
Key points
- For decimal odds of 2.00 or higher, subtract 1 and multiply by 100 to get a positive American line.1
- For decimal odds below 2.00, subtract 1, take the inverse, and multiply by −100 to get a negative American line.1
- Decimal odds show total return including stake; 2.00 is even money, and 1.513 converts to −195.1
Common questions
How to convert decimal odds to american?
If the decimal odds are 2.00 or higher, subtract 1 and multiply by 100. For odds below 2.00, subtract 1, divide −100 by that result. For example, 2.750 becomes +175, and 1.513 becomes −195.1
Where this term is used
Not the same as
- Fractional odds to decimal — the reverse direction: fractional-to-decimal adds 1 to the fraction, while decimal-to-American uses piecewise formulas
Related terms
Odds & probability
American odds
The destination format of the conversion, showing profit relative to a 100-unit stake.
Odds & probability
Decimal odds to probability
Converts decimal odds into implied probability percentages.
Odds & probability
American odds to European
The reverse conversion, from American moneyline to decimal odds.
Odds & probability
Royal flush odds
The probability of being dealt a royal flush in poker.
Odds & probability
Fractional odds
A traditional UK odds format expressed as a fraction of profit to stake.
Odds & probability
American odds to implied probability
Converts American moneyline odds into implied probability percentages.
Sources
- Sports - FAQ - Wizard of Odds wizardofodds.com Provides the piecewise formulas and worked examples for decimal-to-American conversion.
Sources are drawn from regulators, universities and published research, and each one is labelled with what it actually is — a preprint is not called a paper. Bookmaker and affiliate pages are never cited here, because a page that sells betting is not a neutral authority on it.