Odds Calculator
Convert between decimal, fractional and American odds, read the implied probability, and work out the payout and profit on any stake.
An odds calculator converts between decimal, fractional and American formats instantly, calculates payouts and implied probabilities, and lets you compare prices across bookmakers using any notation.
What Are Odds?
Odds express both the price of a bet and its implied chance of winning. Every price offered by a bookmaker can be written three different ways: as decimal odds, fractional odds, or American odds. The three formats are mathematically identical — they all represent the same price — but they are written differently and suited to different audiences. Decimal odds are standard in Europe and online betting; fractional odds are traditional in the UK and used at horse racing; American odds are standard on US sportsbooks. A single price might be quoted as 2.50 decimal, 3/2 fractional, and +150 American, yet all three express the same exact betting opportunity.
For European bettors, decimal odds are the natural starting point. They are intuitive because the decimal number directly tells you how much you get back per euro staked — if the odds are 2.50, every EUR 1 wagered returns EUR 2.50 in total (including your original stake). This clarity makes decimal the preferred format for calculating payouts quickly in your head or on paper. No conversion is needed; just multiply stake by odds to find the return.
Understanding all three formats is essential for comparing odds across bookmakers and regions. While most European bettors stick with decimal because it is intuitive, fractional and American odds appear regularly if you shop for the best prices or place bets with operators beyond your usual sportsbook. Fractional odds, common among UK bookmakers and horse racing specialists, show only your profit, not the total return. American odds, used exclusively on US sportsbooks, flip their sign at decimal 2.00 and can look confusing at first. Yet all three formats encode identical information — they are simply different notations for the same price.
The odds calculator removes friction between formats: enter a price in whichever notation you see, and it instantly shows you the equivalent in the other two, calculates the implied probability, and works out the payout and profit on any stake you choose. This is invaluable when comparing lines across European books, UK operators, and US sportsbooks all at once, or when a bookmaker shows odds in an unfamiliar format.
How Odds Work
Odds represent the bookmaker’s price for an outcome and the payout if you win. The formula is simple: payout = stake × decimal odds, and profit = payout − stake. If you stake EUR 20 at decimal odds of 2.50, the payout is EUR 20 × 2.50 = EUR 50.00. Your profit is EUR 50.00 − EUR 20.00 = EUR 30.00. The decimal odds already include your stake in the return, so 2.50 means you get back 2.50 for every unit staked. This makes decimal odds the clearest format for calculating payouts: the number tells you immediately what you get back per unit wagered.
Odds also encode a probability. The implied probability is 1 divided by the decimal odds. At 2.50, the implied probability is 1 / 2.50 = 40.0%. This tells you what chance the bookmaker is pricing into that price. The implied probability is not the true probability — it includes the bookmaker’s margin — but it is a useful guide for comparing how tight or loose a price is relative to competitors. Shorter odds (like 1.50) imply higher probability (66.7%), while longer odds (like 5.00) imply lower probability (20.0%). Understanding this relationship helps you spot value and judge whether a price is fair relative to other bookmakers’ lines on the same outcome.
What the Calculator Shows You
Enter odds in any format and the calculator instantly converts to the other three, shows the implied probability, and calculates payouts for any stake you enter. If you type decimal 2.50, it displays fractional 3/2 and American +150. If you type fractional 1/2, it displays decimal 1.50 and American -200. If you type American +200, it displays decimal 3.00 and fractional 2/1. Each conversion is exact: there is no rounding or approximation. The calculator never forces you to memorize conversion formulas or reach for a pen and paper.
The implied probability is calculated from the decimal odds and displayed as a percentage, so you see at a glance what chance the bookmaker is pricing into that price. This lets you compare the bookmaker’s pricing against other operators offering the same or different implied probabilities on the same outcome.
Enter your stake in euros and the calculator shows two separate numbers: the total payout (your stake plus your profit combined) and the net profit if the bet wins. This is the most practical feature: you can instantly see, for any bet size, what you stand to win or lose. A EUR 20 stake at 2.50 returns a EUR 50.00 payout and EUR 30.00 profit. The calculator works with any of the three odds formats as input, so whether you are reading a line from a European book (decimal), a British operator (fractional), or a US sportsbook (American), you can use the same calculator and get consistent results.
Worked Example
A EUR 20 stake at decimal odds of 2.50. The payout is EUR 20 × 2.50 = EUR 50.00. The profit is EUR 50.00 − EUR 20.00 = EUR 30.00. The same price can also be written as fractional 3/2 or American +150. The implied probability is 1 / 2.50 = 40.0%, representing the bookmaker’s view of the outcome’s likelihood. Notice that across all three formats and the probability, the price is consistent: they all express the same odds, just in different notation. No matter which format you use to enter the price into the calculator, you get the same payout of EUR 50.00 and profit of EUR 30.00, confirming that decimal, fractional and American odds are truly equivalent.
Payout at Different Stakes
The same decimal price of 2.50 returns different absolute amounts depending on your stake. This table shows the payout and profit for several common stake sizes.
| Stake (EUR) | Payout (EUR) | Profit (EUR) |
|---|---|---|
| 10 | 25.00 | 15.00 |
| 20 | 50.00 | 30.00 |
| 50 | 125.00 | 75.00 |
| 100 | 250.00 | 150.00 |
Reading Odds in Any Format
The same prices expressed in all four ways: decimal, fractional, American and implied probability.
| Decimal | Fractional | American | Implied % |
|---|---|---|---|
| 1.50 | 1/2 | -200 | 66.7% |
| 2.00 | 1/1 | +100 | 50.0% |
| 2.50 | 3/2 | +150 | 40.0% |
| 3.00 | 2/1 | +200 | 33.3% |
| 5.00 | 4/1 | +400 | 20.0% |
Decimal, Fractional and American
The three formats encode the same information but in different ways, which leads to common conversion errors. Decimal odds include your stake, so decimal 2.00 means you get back 2.00 for every unit wagered, a total return that includes your original stake. Fractional odds show profit only, not the total return. The matching fractional price 1/1 (evens) means you win 1 unit of profit for every 1 unit staked; your total return is 1 (profit) + 1 (stake) = 2, which matches decimal 2.00. Mixing the two up is the most common conversion error: forgetting that fractional shows profit only, not total return, leads to misunderstanding what the bet pays out.
American odds flip sign at decimal 2.00, which is where +100 and -100 meet. This structure can be confusing, but it serves a purpose: positive American odds represent underdogs (longer prices, higher profit), while negative American odds represent favourites (shorter prices, lower profit). The boundary at decimal 2.00 is purely notational; prices around that point convert smoothly. Understanding this boundary prevents misreading a -200 favourite (short price, decimal 1.50) as a +200 underdog (longer price, decimal 3.00). The sign flip is deliberate, and memorizing the formulas (or using the calculator) eliminates the risk of error.
When Each Format Matters
Decimal odds are the most practical for calculating payouts because they include the stake, making the multiplication straightforward. If you bet regularly in Europe or online, decimal is your standard. The mental arithmetic is instant: just multiply stake by odds to get the payout.
Fractional odds are useful if you ever deal with UK bookmakers or horse racing, which traditionally quote fractional. These operators use fractional because of regional tradition and because many professional punters prefer reading profit directly (e.g., 3/2 means profit per stake). If you wish to place bets with UK specialists, you need to read fractional quickly and accurately. The disadvantage is that fractional shows profit only, not total return, so calculating the payout requires an extra step.
American odds are essential if you bet on US sportsbooks, which do not typically offer decimal or fractional alternatives. The downside is that American odds flip sign at decimal 2.00, making the conversion formulas different for favourites and underdogs, which can be confusing at first.
The odds calculator bridges all three formats, so you never need to memorize conversion tables or do the arithmetic by hand. Enter a price in any format and instantly see the equivalents. This is especially useful when comparing lines across operators: a European book might quote decimal 2.50, a UK operator might quote fractional 3/2, and a US sportsbook might quote American +150. Without a converter, comparing manually is slow and error-prone. The calculator handles it instantly, letting you focus on finding the best price.
Common Mistakes
Reading a fractional price as profit-plus-stake instead of profit only is the most common error; fractional 3/2 is profit only, not total return. Many bettors forget that decimal odds already include the returned stake, leading them to double-count the stake when calculating returns. Converting American odds with the wrong formula either side of decimal 2.00 is another pitfall: the positive and negative formulas are different and cannot be swapped. Finally, comparing prices in different formats without converting first can lead you to choose a worse price by mistake; always convert to the same format before comparing across bookmakers.
Comparing Odds Formats
Each format tells you something at a glance about what the price represents.
| Format | Reads as | Example |
|---|---|---|
| Decimal | Total return per unit | 2.50 |
| Fractional | Profit per unit staked | 3/2 |
| American | Profit or stake per 100 | +150 |
How to Use This Calculator
- Enter a price in decimal, fractional or American format
- The calculator shows the other formats and the implied probability
- Enter your stake in euros
- Read the payout and profit
- Use the conversions to compare bookmakers
Formula
Payout = stake × decimal odds
Profit = payout − stake
Implied probability = 1 / decimal odds
Decimal, fractional and American are three notations for the same price.
Frequently Asked Questions
How do I convert decimal odds to a payout?
Multiply your stake by the decimal odds. A EUR 20 stake at 2.50 returns EUR 50.00, a EUR 30.00 profit.
How are decimal and fractional odds related?
Fractional shows profit only; decimal adds the stake. 3/2 fractional equals 2.50 decimal, because 1.5 profit plus the 1 stake is 2.5.
What is the implied probability of 2.50?
1 divided by 2.50, which is 40.0%. Every decimal price converts to a probability this way.
When do American odds turn negative?
At decimal 2.00. Longer prices use a plus number, shorter prices use a minus number, and +100 equals -100 equals 2.00.