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  1. Learn
  2. Fundamentals

American Odds to Decimal: Chart, Formula & Examples

Convert American odds to decimal with a live tool, the exact formula for positive and negative prices, worked examples like −200, and a full conversion chart.

SmartStake Team·July 16, 2026·7 min read
Two contrasting coins overlapping side by side, one embossed with a plus shape and one with a minus shape, floating in a balanced pair

American odds to decimal is a two-step conversion that depends on the sign of the price. For positive American odds, divide by 100 and add 1. For negative American odds, divide 100 by the absolute value and add 1. Both formats describe the exact same bet, so once you can move between them you can compare a United States sportsbook against a decimal-quoting book anywhere in the world. Convert either direction with the tool below, then read on for the formula and a full chart.

Try It: American to Decimal Converter

Type an American price into the field and watch the decimal value update live. It opens on −200, which converts to 1.50, one of the most common favorite prices you will see. Change it to any line to see the match.

Odds Converter

%

Type into any field and the other three update live. American shows how much you win on a $100 stake (+) or how much you must stake to win $100 (−). Decimal is your total return per $1. Fractional is profit over stake. Implied probability is the chance the price bakes in.

The converter also shows fractional odds and the implied probability, but the American and decimal fields are the pair to focus on here. Everything below explains how those two numbers relate.

The American to Decimal Formula

American odds split into two cases by sign, so the conversion does too. The number is the same bet either way; only the notation changes.

Positive American odds (underdogs) divide by 100 and add 1:

Decimal=American100+1(positive odds)\text{Decimal} = \frac{\text{American}}{100} + 1 \quad (\text{positive odds})Decimal=100American​+1(positive odds)

So +150 becomes 150 / 100 + 1 = 2.50, and +300 becomes 300 / 100 + 1 = 4.00.

Negative American odds (favorites) divide 100 by the absolute value and add 1:

Decimal=100∣American∣+1(negative odds)\text{Decimal} = \frac{100}{\lvert \text{American} \rvert} + 1 \quad (\text{negative odds})Decimal=∣American∣100​+1(negative odds)

So −200 becomes 100 / 200 + 1 = 1.50, and −110 becomes 100 / 110 + 1 = 1.91.

The + 1 in both formulas is the reason decimal odds always read higher than the profit alone: decimal includes your stake coming back, while American odds describe profit only. Decimal 1.50 returns $1.50 total per $1 staked, which is $0.50 profit plus your $1 back.

−200 in Decimal: A Worked Example

Take −200, the price the tool opens on. It is a favorite, so use the negative-odds formula: divide 100 by 200, then add 1.

100 / 200 = 0.50, and 0.50 + 1 = 1.50. So −200 equals decimal 1.50.

Read it back to sanity-check: −200 means you stake $200 to win $100. In decimal, a $200 stake at 1.50 returns 200 × 1.50 = $300 total, which is your $200 back plus $100 profit. Same bet, same payout, two notations.

Converting Decimal to American

Going the other way splits at 2.00, which is even money (the point where a $1 stake wins $1 profit).

Decimal 2.00 or higher becomes positive American odds:

American=(Decimal−1)×100(decimal≥2.00)\text{American} = (\text{Decimal} - 1) \times 100 \quad (\text{decimal} \geq 2.00)American=(Decimal−1)×100(decimal≥2.00)

Decimal 2.50 gives (2.50 − 1) × 100 = +150.

Decimal below 2.00 becomes negative American odds:

American=−100Decimal−1(decimal<2.00)\text{American} = \frac{-100}{\text{Decimal} - 1} \quad (\text{decimal} < 2.00)American=Decimal−1−100​(decimal<2.00)

Decimal 1.50 gives −100 / (1.50 − 1) = −100 / 0.50 = −200, which closes the loop on the example above.

American to Decimal Conversion Chart

A reference for the lines you meet most often. Negative American odds are favorites (decimal below 2.00); positive are underdogs (decimal above 2.00). The implied probability column is the break-even win rate each price bakes in.

AmericanDecimalImplied probability
+5006.0016.7%
+3004.0025.0%
+2503.5028.6%
+2003.0033.3%
+1502.5040.0%
+1202.2045.5%
+1002.0050.0%
−1101.9152.4%
−1201.8354.5%
−1501.6760.0%
−2001.5066.7%
−2501.4071.4%
−3001.3375.0%
−5001.2083.3%

The −110 row is the one to memorize. It is the standard price on a point spread or total, and its 52.4% implied probability (rather than a clean 50%) is your first look at the vig, the margin a book charges on a balanced market.

Why Bettors Convert to Decimal

Decimal is not more accurate than American; they describe the same price. But decimal is far easier to calculate with, which is why sharp bettors and betting tools work in it.

Two reasons. First, payout is a single multiplication: stake times decimal is your total return, with no sign to track. Second, implied probability is just one divided by the decimal figure. Decimal 2.50 implies 1 / 2.50 = 40% with no case split, where the American formula needs different math for positive and negative prices.

That second point matters because implied probability is the number you actually reason about. A price is good only relative to the real chance of the outcome, and the books post probabilities that add up to more than 100%, with the extra slice being the vig. Stripping it back out to find the fair price is what a no vig calculator does, and comparing that fair price against real lines to find bets that pay more than they should is the whole idea behind positive expected value betting.

Converting odds tells you whether a price is fair, not whether a bet will win. Any single bet can still win or lose regardless of the format it is written in.

Beyond American and Decimal

American and decimal are two of four ways to write a price. The other two are fractional (traditional in the United Kingdom, profit over stake) and implied probability (the price as a percentage). For the full picture of all four formats at once, and the formulas that tie them together, read the betting odds converter guide.

Prediction markets like Kalshi and Polymarket skip American and decimal entirely and quote a price in cents that already is the probability: a contract at 40 cents implies a 40% chance. Convert those with the prediction market converter or the Kalshi odds converter walkthrough.

Frequently Asked Questions

How do you convert American odds to decimal?

For positive American odds, divide by 100 and add 1, so +150 becomes 150 / 100 + 1 = 2.50. For negative American odds, divide 100 by the absolute value and add 1, so −200 becomes 100 / 200 + 1 = 1.50. Even money, +100, is exactly 2.00 in decimal.

What is −200 in decimal odds?

−200 in American odds equals 1.50 in decimal. Using the negative-odds formula, divide 100 by 200 to get 0.50, then add 1 for 1.50. A $200 stake at 1.50 returns $300 total, which is $100 profit plus your $200 back, exactly what −200 pays.

How do you convert decimal to American odds?

Split at 2.00. For decimal 2.00 or higher, subtract 1 and multiply by 100, so 2.50 becomes +150. For decimal below 2.00, divide −100 by the decimal minus 1, so 1.50 becomes −200. Decimal 2.00 itself is even money, or +100.

Why is decimal always higher than the American profit?

Decimal odds include your stake coming back, while American odds describe profit only. That is the + 1 in the conversion formula. Decimal 1.50 returns $1.50 per $1 staked, which is $0.50 profit plus your $1 stake, so the figure reads higher than the profit alone.

Is decimal or American better?

Neither is more accurate; they describe the same price. Decimal is easier to calculate with because payout is one multiplication and implied probability is one divided by the number. American is the default at United States sportsbooks. A converter lets you work in whichever format you prefer.

Convert Any Price Instantly

Converting one price by hand is quick. Converting every line across every book, fast enough to act before the number moves, is not. That is what the tool is for.

Drop any American or decimal price into the Odds Converter and it returns every format at once, including the implied probability you need before you can measure value. Open the Odds Converter and stop doing the arithmetic in your head.

This content is for educational and informational purposes only and is not financial, investment, or betting advice. Sports betting carries risk and outcomes are never guaranteed — only stake what you can afford to lose, and bet responsibly.

On this page

Try It: American to Decimal ConverterThe American to Decimal Formula−200 in Decimal: A Worked ExampleConverting Decimal to AmericanAmerican to Decimal Conversion ChartWhy Bettors Convert to DecimalBeyond American and DecimalFrequently Asked QuestionsConvert Any Price Instantly

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