American and Decimal Odds: How to Convert Both Ways

American and decimal odds are two ways of showing the same price. Changing the format does not change the bet or create a better payout. It simply changes how the number is written.

For example, +150 in American odds is the same as 2.50 in decimal odds. A successful $40 bet at either price earns $60 in profit and returns $100 in total, including the original $40.

The Cold Line’s free calculator accepts American and decimal odds in its supported bet calculations. Understanding the formats first makes it easier to check what you enter and what the result means.

First, separate profit from total return

Your stake is the money you put into a bet. Profit is the amount won beyond that stake. Total return is the stake plus the profit, assuming the bet wins.

In the $40 example, the numbers are:

• Stake: $40.
• Profit: $60.
• Total return: $100.

Those labels matter because American odds are commonly explained through profit, while decimal odds directly multiply the stake into the total return. Confusing the two makes a normal payout look larger than it really is.

What plus and minus mean in American odds

A positive American price shows the profit on a successful $100 stake. At +150, a $100 stake earns $150 in profit. The $100 stake comes back too, making the total return $250.

A negative price shows how much must be risked to earn $100 in profit. At −200, a successful $200 stake earns $100, for a $300 total return.

You do not have to use a $100 stake. That amount is a reference point for the price. At −200, a successful $20 stake earns $10 in profit. At +150, a successful $20 stake earns $30. The NFL’s moneyline explanation gives the same basic distinction between positive and negative prices.

These odds are not a point spread. A team at −200 is not being asked to win by 200 points. The number describes the price of the bet.

Convert positive American odds to decimal

Divide the positive number by 100, then add one.

For +150, divide 150 by 100 to get 1.50. Add one and the decimal price is 2.50.

The added one represents the return of the original stake. The remaining 1.50 represents the profit for each dollar staked if the bet wins.

At +250, the same steps give 3.50: 250 divided by 100, plus one.

Convert negative American odds to decimal

Ignore the minus sign for the division. Divide 100 by the number, then add one.

For −200, divide 100 by 200 to get 0.50. Add one and the decimal price is 1.50.

For −125, divide 100 by 125 to get 0.80. Add one and the decimal price is 1.80.

Here are several common conversions:

These are conversion examples, not current offers. A displayed decimal may be rounded, so small differences can appear when converting it back.

Convert decimal odds back to American

The method depends on whether the decimal is at least 2.00 or below it.

For 2.00 or higher, subtract one and multiply by 100. Decimal 2.50 becomes 1.50 after subtracting one, then +150 after multiplying by 100.

For a decimal between 1.00 and 2.00, subtract one, divide 100 by that result, and put a minus sign in front. Decimal 1.80 leaves 0.80 after subtracting one. Then 100 divided by 0.80 gives 125, so the American price is −125.

Decimal 2.00 is even money. It is commonly written as +100, although −100 represents the same payout. Decimal odds for an ordinary winning wager must be greater than 1.00 for this conversion to make sense.

The same format does not mean the same bet

Converting prices makes them easier to compare, but the underlying markets must match too. Confirm the same team or selection, the same game period, and the same settlement rules.

A full-game moneyline and a first-half moneyline are different bets even if both display +150. A market with a separate tie option can also settle differently from one that returns the stake on a tie.

The format tells you how the payout is expressed. It does not tell you everything about the bet.

A price also implies a break-even percentage

Divide one by the decimal price to find its implied probability, then multiply by 100. At 2.50, that calculation gives 40%.

That is the break-even win rate for repeated bets at that price under a simple win-or-lose settlement. It is not proof that the selection has a true 40% chance of winning. Quoted prices can include a bookmaker’s margin and can change over time.

TCL’s implied-probability article explains that next step without treating the price as a guaranteed forecast.

Put the numbers to work with TCL

The advantage of understanding both formats is being able to check the same calculation from two directions. Read the American price, convert it to decimal, and confirm that the profit and total return agree.

TCL pairs its free calculator with plain-language explanations of American odds and decimal odds. That combination makes it a useful place to learn the math and inspect a calculation without needing an account.

Keep the full decimal value while calculating and round at the end. Then compare the result with the actual price, stake, and settlement terms shown on the wager. A clearer format helps you understand the price; it does not change the risk of the outcome.

American and decimal odds are two ways to express the same payout. The biggest source of confusion is mixing up profit with total return, which includes your original stake.

• Positive American odds show profit on $100. At +150, a winning $100 bet earns $150 profit and returns $250 in total. Decimal odds: 2.50.
• Negative American odds show the stake needed to win $100. At −200, a winning $200 bet earns $100 profit and returns $300. Decimal odds: 1.50.
• American to decimal: for a plus price, use 1 + odds ÷ 100. For a minus price, use 1 + 100 ÷ the size of the negative number.
• Decimal to American: at 2.00 or above, use (decimal − 1) × 100. Below 2.00, use −100 ÷ (decimal − 1).
• Compare the same market and rules. A better-looking price is not useful if it describes a different bet. TCL’s learning tools help you understand the calculation; the sportsbook’s actual price and settlement terms control the wager.