Decimal Odds Calculator
Enter decimal odds and a stake amount to instantly calculate your profit, total payout, and implied probability. The calculator also converts to fractional and American (moneyline) formats so you can compare odds across any sportsbook.
What are decimal odds?
Decimal odds (also called European odds or continental odds) express the total return for every one unit staked, including the return of your stake itself. Odds of 2.50 mean you receive 2.50 USD back for every 1.00 USD wagered if the bet wins: 1.50 USD profit plus your original 1.00 USD stake. This format dominates in Europe, Australia, Canada, and on most online exchanges, partly because the math is straightforward: multiply your stake by the decimal number to get your total payout, then subtract the stake to get profit. Decimal odds are always greater than 1.00, and even money (a 50% implied probability) is represented as exactly 2.00. Odds below 2.00 indicate the selection is priced as a favourite, while odds above 2.00 indicate an underdog.
How to convert decimal odds to other formats
Converting from decimal odds is simple algebra. To get the implied probability, divide 1 by the decimal odds: 1 / 2.50 = 0.40, or 40%. To get fractional odds, subtract 1 from the decimal to find the profit ratio, then simplify: 2.50 - 1 = 1.50 = 3/2. To get American (moneyline) odds, the rule splits on whether the decimal is at or above 2.00. For underdogs (decimal 2.00 or above), American odds = (decimal - 1) x 100, so 2.50 becomes +150. For favourites (decimal below 2.00), American odds = -100 / (decimal - 1), so 1.67 becomes -150. This calculator performs all three conversions automatically.
Profit, payout, and expected value
Profit is the amount you gain on top of your returned stake if the bet wins, calculated as (decimal odds - 1) x stake. Total payout is profit plus the stake returned. If you have a genuine probability estimate for the outcome, you can calculate expected value: EV = (your probability x profit per unit) - ((1 - your probability) x stake per unit). A positive EV means the bet is profitable in the long run relative to your estimate; a negative EV means the opposite. Sportsbooks build a margin (called the vig or juice) into their odds so that the implied probabilities across all outcomes sum to more than 100%, ensuring a theoretical profit for the house.
The bookmaker margin (overround / vig)
Every set of odds offered by a sportsbook includes a margin built in to guarantee profit over many bets. This margin is often called the overround, the vig, or the juice. For a two-outcome market with no margin, the probabilities would sum to 100%. In practice they sum to more, often 102 to 110%, with the excess representing the bookmaker's edge. For example, if both sides of a coin-toss market are priced at 1.90 instead of 2.00, each side implies 52.6%, which sums to 105.3%, so the book holds a 5.3% overround. When comparing odds, look for the longest decimal (highest number) available, since that corresponds to the lowest implied probability and therefore the most favourable terms for the bettor.
Common odds equivalence table
| Decimal | Fractional | American | Implied Probability |
|---|---|---|---|
| 1.10 | 1/10 | -1000 | 90.9% |
| 1.20 | 1/5 | -500 | 83.3% |
| 1.25 | 1/4 | -400 | 80.0% |
| 1.33 | 1/3 | -300 | 75.0% |
| 1.40 | 2/5 | -250 | 71.4% |
| 1.50 | 1/2 | -200 | 66.7% |
| 1.67 | 2/3 | -150 | 60.0% |
| 2.00 | 1/1 | +100 | 50.0% |
| 2.50 | 3/2 | +150 | 40.0% |
| 3.00 | 2/1 | +200 | 33.3% |
| 4.00 | 3/1 | +300 | 25.0% |
| 5.00 | 4/1 | +400 | 20.0% |
| 6.00 | 5/1 | +500 | 16.7% |
| 10.00 | 9/1 | +900 | 10.0% |
| 21.00 | 20/1 | +2000 | 4.8% |
| 51.00 | 50/1 | +5000 | 2.0% |
Standard odds across formats and their implied probabilities. Vig-free (no margin applied).
Frequently asked questions
What do decimal odds of 1.00 mean?
Decimal odds of 1.00 would mean no profit at all: you would receive back exactly what you staked if the bet won, giving zero return on your money. In practice, odds this low are never offered by sportsbooks. The minimum useful decimal odds are just above 1.00, meaning an extremely heavy favourite with a very small profit margin.
How do I calculate profit from decimal odds?
Profit = (decimal odds - 1) x stake. For example, at odds of 3.00 with a 50 USD stake, profit = (3.00 - 1) x 50 = 100 USD. Total payout = decimal odds x stake = 3.00 x 50 = 150 USD, which is the 100 USD profit plus your 50 USD stake returned.
What is the difference between decimal odds and fractional odds?
Fractional odds (common in the UK and Ireland) express only the profit relative to the stake, not the total return. Odds of 3/1 mean you win 3 USD for every 1 USD staked. The equivalent decimal is 4.00, because you also get your 1 USD stake back, making the total return 4 USD. To convert fractional to decimal, divide the fraction and add 1: (3/1) + 1 = 4.00.
What is the implied probability, and why does it matter?
Implied probability is the win percentage that the odds reflect. It is calculated as 1 / decimal odds x 100. At odds of 2.00, implied probability = 50%. It matters because it lets you compare the sportsbook's assessment against your own estimate. If you believe a team has a 60% chance of winning but the implied odds show only 50%, the market is offering you value. If your true estimate is below the implied probability, the bet has a negative expected value.
How do I convert decimal odds to American (moneyline) odds?
For underdogs (decimal 2.00 or above): American odds = (decimal - 1) x 100. So 3.50 becomes +250. For favourites (decimal below 2.00): American odds = -100 / (decimal - 1). So 1.50 becomes -200. The sign shows whether you need to wager more than 100 USD to win 100 USD (negative, favourite) or less than 100 USD to win 100 USD (positive, underdog).
What is even money in decimal odds?
Even money means you win exactly what you stake. In decimal format this is 2.00, because you receive 2x your stake back in total (1x profit plus 1x stake returned). In fractional format it is written 1/1, and in American format it is +100.
Can decimal odds ever be below 1.00?
No. A decimal of 1.00 means returning only your stake (zero profit), and any value below 1.00 would imply losing money even on a winning bet. Legitimate odds are always strictly above 1.00. If you see a decimal below 1.00, it is a formatting error.