Chess Checkmate

Beginners

Chess Ratings Explained

A chess rating is a number that estimates how strong you are compared with the other players in the same pool. It goes up when you score better than expected and down when you score worse. The number itself means nothing on its own; it only tells you something when you compare it with other ratings from the same system.

The Elo idea

Most chess ratings come from the system designed by Arpad Elo, a Hungarian-American physics professor and chess player. The United States Chess Federation adopted it in 1960, and FIDE, the international chess federation, adopted it in 1970. Its central idea is that the difference between two ratings predicts the result.

The predicted, or expected, score for a player is:

E = 1 / (1 + 10^((opponent's rating − your rating) / 400))

You do not need to calculate this by hand. What matters is what it says in practice:

Rating differenceExpected score of the higher-rated player
00.50 (50%)
100about 0.64
200about 0.76
300about 0.85
400about 0.91

A draw counts as half a point. So a player rated 200 points above an opponent is expected to score about three points out of four over many games, not to win every time. Upsets are built into the system.

How your rating changes

After each game, your rating changes by a factor called K multiplied by the difference between your actual score and your expected score:

New rating = old rating + K × (actual score − expected score)

Suppose you are rated 1600, your opponent is 1800 and K is 20. Your expected score is about 0.24. If you win (score 1), you gain about 20 × 0.76, roughly 15 points. If you lose (score 0), you drop about 20 × 0.24, roughly 5 points. Beating stronger players earns a lot; losing to them costs little. The reverse is true against weaker opponents.

The K-factor controls how fast ratings move. FIDE uses a higher K for new players and juniors, so their ratings can catch up with their real strength quickly, and a lower K for established and top players, so a single bad tournament does not swing their rating too much.

FIDE, national and online ratings

There is no single chess rating. Each organisation runs its own pool, and the numbers are not directly comparable.

Why online numbers differ

Players are often confused that their online rating is far from their club rating, or that their Lichess and Chess.com numbers do not match. That is expected, for several reasons:

The useful comparison is always within the same system and time control. If your Lichess rapid rating climbs 150 points over six months, you have improved. Whether that number is "worth" a certain FIDE rating is guesswork.

What different ratings roughly mean

Ranges vary between systems, so treat these as rough guides for over-the-board ratings rather than fixed rules. Players rated below about 1200 are still learning to avoid leaving pieces unprotected. Club players in the 1400 to 1800 range know the basic tactics and openings but lose many games to tactical oversights. Above 2000, players calculate accurately, have a solid opening repertoire and understand endgames well. In US Chess, a rating of 2200 earns the title of National Master. The very top players in the world are rated above 2700 in FIDE's standard list, and Magnus Carlsen reached 2882 in 2014, the highest rating in the list's history.

FIDE titles and their rating thresholds

FIDE awards titles for life. Each title has a minimum rating; the two highest also require norms, which are strong performances in qualifying international tournaments.

TitleAbbreviationMinimum FIDE ratingNorms needed
Candidate MasterCM2200No
FIDE MasterFM2300No
International MasterIM2400Yes
GrandmasterGM2500Yes

There are also women's titles with lower thresholds: Woman Candidate Master (2000), Woman FIDE Master (2100), Woman International Master (2200) and Woman Grandmaster (2300). Women can and do earn the open titles as well; Judit Polgar became a grandmaster in 1991 at age 15. The rating needed for a title is reached once at any point; a title is not lost if the rating later drops.

Using your rating well

Ratings are useful for pairing, for choosing which tournament section to enter and for tracking progress. They are bad as a source of stress. Short-term swings of 50 points or more are normal, especially online, and they mostly reflect luck and form rather than real changes in strength.

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