Sports

Elo Calculator

Find updated Elo ratings after a game.

Player A rating

Player B rating

K-factor

Result for A

Calculated Output

Player A new rating 1,611.52

Rating change 11.518

Formula: new = rating + K·(score − expected)

Step-by-Step Breakdown

1. Values used:

2. Player A rating = 1,600

3. Player B rating = 1,500

4. K-factor = 32

6. Player A new rating = 1,611.52

7. Rating change = 11.518

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The math behind it

Expected score = 1 ÷ (1 + 10^((B−A)/400)). New rating = old + K·(actual − expected). Beating a higher-rated opponent gains more.

1600 beats 1500 (K 32) → gains ~12.2 points.

What is the K-factor?

How fast ratings change — higher K means bigger swings per game.