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How to Calculate True Shooting Percentage and eFG% in Basketball

Field goal percentage is the number most people look at, but it treats every shot the same. A player who makes four of ten threes has scored 12 points, while a player who makes four of ten twos has scored 8, yet both shot 40 percent.

Two other percentages fix this. Effective field goal percentage (eFG%) gives extra credit for threes, and true shooting percentage (TS%) also counts free throws. This guide gives the formulas, works through examples and covers two more useful ratios. It ends with where to find them in Cash.

Field goal percentage (FG%)

FG% = FGM / FGA

FGM is field goals made and FGA is field goals attempted. Field goals include both two-pointers and three-pointers; free throws are not field goals. A player who goes 6-14 from the field has an FG% of 6 / 14 = 42.9 percent.

Effective field goal percentage (eFG%)

eFG% = (FGM + 0.5 x 3PM) / FGA

3PM is three-pointers made. A three is worth 50 percent more than a two, so each made three counts as one and a half makes. eFG% answers the question: what field goal percentage on twos alone would produce the same points?

Example

A player goes 5-10 from the field, and 4 of the 5 makes are threes. FG% is 50 percent. eFG% is (5 + 0.5 x 4) / 10 = 7 / 10 = 70 percent. They scored 1 x 2 + 4 x 3 = 14 points from 10 shots, the same as making 7 twos out of 10.

True shooting percentage (TS%)

TS% = PTS / (2 x (FGA + 0.44 x FTA))

PTS is total points and FTA is free throw attempts. The part in brackets, FGA + 0.44 x FTA, estimates the number of scoring attempts. Free throws usually come in pairs, and some, such as the extra shot after an and-one, do not use up a possession of their own, so each free throw attempt is counted as 0.44 of a shot. The constant 0.44 is a widely used convention, not an exact law.

Example

A player goes 6-14 from the field with 2-5 threes, and 4-6 from the line. Points are 4 twos x 2 + 2 threes x 3 + 4 free throws = 8 + 6 + 4 = 18.

The three numbers rise because each one gives more credit for the threes and free throws this player added. A player who only takes twos and no free throws has the same FG%, eFG% and TS%: 8-14 is 57.1 percent on all three.

Two more useful numbers

Assist-to-turnover ratio (AST/TO)

AST/TO = assists / turnovers. A guard with 9 assists and 4 turnovers has a ratio of 9 / 4 = 2.25. Higher is better; it is a quick check on decision-making with the ball.

Points per possession (PPP)

PPP = points / possessions. Possessions are not counted directly, so they are estimated. A simple estimate is FGA + TO + 0.44 x FTA. A team with 60 field goal attempts, 12 turnovers and 20 free throw attempts had about 60 + 12 + 0.44 x 20 = 80.8 possessions; if it scored 70 points, that is 70 / 80.8 = 0.87 points per possession. Fuller estimates also subtract offensive rebounds, which give a team a second chance within the same possession.

Be careful with small samples

In one game, a player might take only a few shots, and one make more or less swings every percentage a long way: 2-3 is 66.7 percent, 1-3 is 33.3 percent. Season totals, where attempts add up, give a much more reliable picture. Compare players with similar numbers of attempts.

Where to find these in Cash

Cash calculates all of these from the stats you record:

  1. Record shots during the game: tap a player, then the 2P, 3P or FT button for a make, or long press for a miss in the default quick mode.
  2. Open Box Score to see each player's minutes, shooting splits and percentages, plus advanced stats: eFG%, TS%, AST/TO, PPP, FT rate and 3P rate.
  3. From the home screen, open SEASON STATS to see the same figures for the season, and compare up to four players side by side.

Cash estimates possessions as FGA + TO + 0.44 x FTA, the simple version above. Games can be exported as CSV, JSON or PDF. For tips on recording, see how to keep basketball stats. Cash is also available for iPhone and Android.

Frequently asked questions

What is the formula for true shooting percentage?

TS% = points / (2 x (field goal attempts + 0.44 x free throw attempts)).

What is the formula for effective field goal percentage?

eFG% = (field goals made + 0.5 x three-pointers made) / field goal attempts.

Why is 0.44 used for free throws?

It is a widely used estimate of how much of a scoring attempt each free throw represents, since free throws often come in pairs and some do not use up a possession.

What is the difference between eFG% and TS%?

eFG% adjusts for the extra value of three-pointers. TS% does that too and also includes free throws.

Does Cash calculate TS% automatically?

Yes. The box score and season stats show eFG%, TS% and other advanced stats from the shots you record.