# Match win percentage

Each AT participant's match win percentage is that guild's accumulated match points divided by 3 times the number of rounds in which they competed, or 0.33, whichever is greater. (Establishing a minimum match-win percentage of 0.33 limits the effect low performances have when calculating and comparing Opponent's Match Win Percentages).

For example, a guild's record is 2-1-1 (2 wins, 1 loss, and 1 draw) after 4 rounds of Swiss play. It is has earned 7 match points and its match win percentage is:

A guild's Opponent's Match Win Percentage is the average match-win percentage of each opponent that guild faced (ignoring any rounds for which the guild received a bye or forfeit).

For example, using the above example, a guild finished 2-1-1 and its opponents' match records were 2-2-0, 1-2-1, 3-1-0, and 0-4-0 so the guild's Opponent's Match Win Percentage is

Replacing the 0/12 with 0.33 (see above minimum) and translating to the decimal system we get:

This equation becomes

This number, which ranges from 0.33 to 1.0 is then scaled to range from 0.0 to 0.999 (for readability) and then added to the guild's score.

The scaled number is calculated as follows:

So when all was said and done, in our example above, the guild would have 7.19 points. (7 from its 2 wins and 1 draw, and 0.19 based on an Opponent Win Percentage of 0.46.)

While this may seem a bit complicated, it basically comes down to using the strength of your schedule as the tie-breaker. The guild that defeats guilds with better records ends up with a slightly higher score than a guild that defeated weaker opponents.