100% Free • True Shooting % (TS%), True Shot Attempts & Points Added Solver

TS Calculator — True Shooting Percentage

Calculate True Shooting Percentage (TS%) to measure total basketball scoring efficiency across 2-pointers, 3-pointers, and free throws with the free TS Calculator. Computes True Shot Attempts (TSA), Points Per Scoring Attempt, Points Added Above Average, and comparative eFG% vs TS% analytics with NBA benchmark diagnostics.

NBA Benchmark & Historic Scoring Presets:
Direct Scoring Stats Fast 3-Metric Input
NBA Avg ~58.0%
58.0%
True Shot Attempts 1,774.0 TSA
Points / TSA 1.34 PTS/TSA
Free Throw Rate 0.250 FTr
True Shooting Percentage (TS%)
66.9%

Elite Historic Efficiency • 1.34 Points Per True Scoring Attempt

Scoring Classification Historic Hall-of-Fame scoring efficiency; top 0.5% in NBA history
Elite Historic (≥ 66.0%)
Full Scoring Metric Spectrum +8.9% Above League Average
Traditional FG% (Field Goals Only) 50.4%
Effective FG% (eFG% • 3P Adjusted) 63.0%
True Shooting % (TS% • 2P + 3P + FT) 66.9%
Points Per TSA
1.34

Points per scoring attempt

Points Added (TSA)
+317 PTS

Above league avg

True Shot Attempts
1,774.0

FGA + 0.44×FTA

Effective FG% (eFG%)
63.0%

Live-ball shooting

Free Throw Rate (FTr)
0.250

FTA per FGA

Total Points
2,375

All scoring sources

Step-by-Step True Shooting Percentage Mathematical Formulation

The Evolution of Scoring Efficiency: Why True Shooting Percentage is the Gold Standard

In modern basketball analytics, True Shooting Percentage (TS%) represents the definitive, all-in-one measurement of scoring efficiency. While traditional Field Goal Percentage (FG%) measures raw shot makes and Effective Field Goal Percentage (eFG%) credits the added value of 3-pointers, only True Shooting accounts for all three scoring avenues simultaneously: 2-point field goals, 3-point field goals, and free throws.

Traditional FG%

Measures raw live-ball accuracy (\(\text{FGM}/\text{FGA}\)). Ignores 3-point bonuses and completely excludes free throws.

Effective FG% (eFG%)

Adjusts live-ball shooting for 3-pointers (\((\text{FGM} + 0.5\times\text{3PM})/\text{FGA}\)), but ignores free throws.

True Shooting % (TS%)

Measures total points scored per scoring possession consumed (\(\text{PTS} / [2\times\text{TSA}]\)). The true universal standard.

Master TS% Benchmark Tiers & Modern NBA Efficiency Standards

How to evaluate any player or team's True Shooting Percentage against current NBA and collegiate baselines:

TS% Range Efficiency Tier Points Per TSA Historic NBA Examples
≥ 66.0% Elite Historic / MVP ≥ 1.32 PTS/TSA Stephen Curry (2015-16 MVP: 66.9%), Nikola Jokić (2022-23: 70.1%)
60.0% – 65.9% High-Level All-Star 1.20 – 1.31 PTS/TSA James Harden (2018-19: 61.6%), Kevin Durant, Damian Lillard
56.0% – 59.9% NBA League Average 1.12 – 1.19 PTS/TSA Standard NBA rotation starter benchmark (~58.0% league baseline)
52.0% – 55.9% Below Average 1.04 – 1.11 PTS/TSA Mid-range heavy primary creators with low free throw rates
< 52.0% Inefficient Volume < 1.04 PTS/TSA Inefficient scorers consuming possessions at sub-replacement rates

How to Use the TS Calculator

1 Choose Input Mode

Select Direct Mode (Total Points, FGA, FTA) for instant 3-field solving, or Detailed Mode (FGM, 3PM, FTM, FGA, FTA) to automatically tabulate points and eFG%.

2 Enter Scoring Numbers

Input total Points scored, Field Goal Attempts (2P + 3P), and Free Throw Attempts from your basketball box score.

3 Set League Benchmark TS%

Adjust the baseline slider (default \(58.0\%\)) to calculate exact Points Added Above Average (True Shooting Added).

4 Analyze Points Per Scoring Attempt

Inspect your True Shooting %, Points Per True Shot Attempt (PTS/TSA), Free Throw Rate (FTr), and step-by-step KaTeX breakdown.

The 0.44 Free Throw Coefficient: Why Isn't It 0.50?

Since shooting fouls typically award two free throws, why does the True Shooting formula multiply Free Throw Attempts by \(0.44\) instead of \(0.50\)?

If every free throw came in pairs of two, the multiplier would be exactly \(0.50\) (\(2\text{ FTs} = 1\text{ possession}\)). However, basketball features several special free throw scenarios:

  • "And-1" Three-Point Plays: The player made the field goal (already charged 1 FGA), so the single bonus free throw consumes zero additional shot attempts.
  • Technical & Flagrant Foul Free Throws: Awarded as bonus points without consuming an offensive scoring possession.
  • 3-Shot Fouls: Getting fouled on a 3-point attempt awards three free throws on a single possession (\(0.33\text{ possessions per FT}\)).

Empirical tracking across millions of NBA possessions confirms that \(0.44 \times \text{FTA}\) provides an almost flawless approximation of true possession usage.

True Shooting Added (Points Above Average): Volume Meets Efficiency

Efficiency alone is incomplete without volume. A reserve player who shoots \(70.0\%\text{ TS\%}\) on \(4\text{ shots per game}\) has far less offensive value than a superstar who maintains \(64.0\%\text{ TS\%}\) on \(22\text{ shots per game}\).

$$\text{True Shooting Added} = \text{Total Points} - 2 \times \text{TSA} \times \left(\frac{\text{League TS}\%}{100}\right)$$

During Stephen Curry's 2015-16 unanimous MVP season, his \(66.9\%\text{ TS\%}\) on \(1,774\text{ TSA}\) generated \(+317.0\text{ Points Added Above Average}\), the highest single-season mark in modern NBA history!

Key Features of the TS Calculator

Dual Calculation Engines

Instant Direct scoring mode and full Box Score breakdown with automatic eFG% integration.

Points Per TSA Derivation

Calculates exact scoring output per possession consumed (\(2 \times [\text{TS}\%/100]\)).

True Shooting Added (Points Lift)

Dynamic slider allows customized league benchmark comparison to quantify surplus points generated.

Free Throw Rate (FTr) Analytics

Measures foul-drawing frequency (\(\text{FTA}/\text{FGA}\)) to evaluate offensive pressure.

3-Tier Metric Comparison Visualizer

Stacked progress bars visually comparing Traditional FG% vs. eFG% vs. True Shooting %.

Historic Superstar Presets

One-click presets for Stephen Curry, Nikola Jokić, James Harden, Damian Lillard, and NBA average.

The "Foul Drawing" Advantage: Why Free Throws Supercharge True Shooting

Why do high-volume free throw shooters (like James Harden, Giannis Antetokounmpo, and Joel Embiid) consistently post elite True Shooting Percentages despite modest traditional FG%?

An \(85\%\) free throw shooter going to the line for two shots scores \(1.70\text{ points}\) on approximately \(0.88\text{ True Shot Attempts}\). That equates to an incredible \(1.93\text{ Points Per Scoring Possession}\) (\(96.6\%\text{ TS\%}\))! Drawing fouls is statistically the single most efficient offensive play in basketball.

Playoff True Shooting Depreciation: Why TS% Drops in the Postseason

Across NBA playoff history, league-wide True Shooting Percentage drops by an average of \(2.5\%\text{ to }3.8\%\) compared to the regular season. Why does this happen?

  • Stricter Playoff Whistles: Referees permit more physical perimeter contact, reducing Free Throw Rates (\(\text{FTr}\)) by \(15\%\).
  • Targeted Scheme Defense: Opposing coaching staffs design 7-game defensive schemes to eliminate a primary scorer's preferred sweet spots.
  • Slower Half-Court Pace: Transition fastbreak points vanish, forcing teams to score against set half-court defenses.

The High-Volume Efficiency Frontier: 4 Distinct Archetypes of \(60\%+\text{ TS\%}\) Superstars

Reaching a True Shooting Percentage above \(60.0\%\) while carrying a high offensive usage rate (\(>28\%\)) is the rarest achievement in professional basketball. NBA history reveals four distinct paths to elite efficiency:

1. The Perimeter Gravity Sniper (Stephen Curry)

Combines historically elite 3-point volume (\(11+\text{ 3PA/game}\)) with unmatched accuracy (\(43\%-45\%\)) and \(91\%\) free throw shooting, breaking the efficiency curve without relying on heavy foul-baiting.

2. The Foul-Drawing Isolation Hub (James Harden)

Maximizes the mathematical extremes of the sport: step-back 3-pointers and relentless rim attacks that generate \(10\text{ to }12\text{ free throw attempts}\) per game, converting at \(86\%\).

3. The 3-Level Unblockable Scorer (Kevin Durant)

Maintains an elite TS% despite taking mid-range jumpers by shooting an absurd \(55\%\) from \(16\text{ to }22\text{ feet}\), \(40\%\) on 3s, and \(90\%\) from the free-throw line over a 7-foot frame.

4. The Interior Touch Maestro (Nikola Jokić)

Generates a \(70.0\%+\text{ TS\%}\) through soft-touch floaters, post hooks (\(68\%\) in the paint), high free throw accuracy (\(82\%\)), and selective wide-open trailer 3-pointers (\(38\%\)).

Critical Shooting Dilemmas & Misconceptions Solved by the TS Calculator

1. The "42% FG is Bad" Fallacy

A guard shooting \(42.0\%\) from the field with high 3-point volume and \(85\%\) FT shooting frequently yields a \(59.5\%\text{ TS\%}\), out-scoring a \(49.0\%\) pure mid-range shooter who never gets fouled.

2. The "Empty Volume" Chucker

A player scoring \(25\text{ PPG}\) on \(51.0\%\text{ TS\%}\) actively costs their team points compared to league baseline. The TS Calculator's Points Added card exposes negative possession drag.

3. Cross-Era Comparisons

By adjusting the league benchmark slider, users can accurately compare Michael Jordan's \(60.3\%\text{ TS\%}\) in 1988 (against a \(53.8\%\) league avg) to modern superstars.

Team True Shooting % vs. Opponent TS%: The Mathematical Core of Championship Net Rating

At the team level, Net True Shooting Differential (\(\Delta_{\text{TS}} = \text{Team TS\%} - \text{Opponent TS\%}\)) is the single strongest statistical predictor of regular season wins and playoff series victories. Over the last 25 NBA seasons, teams finishing in the Top 3 in Net TS% won the NBA Championship in \(72\%\) of campaigns.

Offensive Goal (\(\ge \mathbf{59.5\%\text{ Team TS\%}}\))

Generated by spacing the floor with corner 3s, drawing fouls on interior drives, and avoiding low-percentage contested mid-range pull-ups.

Defensive Goal (\(\le \mathbf{54.0\%\text{ Opponent TS\%}}\))

Achieved by disciplined walling at the rim (denying fouls) and running opponents off the 3-point line into contested mid-range floaters.

Practical Guide for Coaches & Players: How to Audit Your Personal True Shooting Diet

To elevate your True Shooting Percentage above the competitive \(60.0\%\) threshold, apply this 4-pillar analytical framework to your training and game film:

1. Hunt Contact on Rim Drives

Drawing a shooting foul generates approximately \(1.60\text{ to }1.80\text{ points per possession}\). Absorbing contact instead of avoiding it with off-balance floaters is the fastest way to boost TS%.

2. Convert Your Free Throws (\(80\%+\))

A player who shoots \(60\%\) on free throws generates only \(1.20\text{ PTS/TSA}\), whereas shooting \(85\%\) yields an elite \(1.70\text{ PTS/TSA}\). Elite free throw shooting amplifies every foul drawn.

3. Step Back Two Feet on Long 2s

An 18-foot jumper made at \(40\%\) yields \(0.80\text{ PTS/TSA}\). Stepping behind the arc and shooting \(35\%\) on 3s yields \(1.05\text{ PTS/TSA}\)—an instant \(31\%\) efficiency increase.

4. Track True Shot Attempts in Scrimmages

Input your points, field goal attempts, and free throws into the TS Calculator after every scrimmage to identify whether your scoring output is contributing positive Points Added.

Usage Rate vs. True Shooting Efficiency: The Diminishing Returns Frontier

In professional basketball analytics, efficiency cannot be evaluated in a vacuum without measuring Offensive Usage Rate (\(\text{USG}\%\)). As a player takes on a larger share of team possessions, their True Shooting Percentage naturally degrades due to opposing defensive focus, double-teams, and late-shot-clock bailout responsibilities.

Low Usage / High TS% (\(\le 18\%\text{ USG}\))

Spot-up corner shooters and rim-running lob threats often post \(65\%-72\%\text{ TS\%}\) because they strictly take open, spoon-fed scoring opportunities created by primary playmakers.

Standard Starter (\(20\%-26\%\text{ USG}\))

Secondary shot creators and balanced scoring options typically record \(56\%-59\%\text{ TS\%}\), balancing self-created attacks with assisted perimeter spacing.

Superstar MVP Frontier (\(\ge 30\%\text{ USG}\))

Primary heliocentric engines who maintain a \(60.0\%+\text{ TS\%}\) on \(30\%+\text{ Usage}\) (such as Stephen Curry, James Harden, Nikola Jokić, and Joel Embiid) are the most valuable assets in the modern game.

Transition vs. Half-Court True Shooting: Where Real Offensive Skill is Proven

A team or player's overall True Shooting Percentage is composed of two drastically different basketball environments:

Transition Fastbreak (\(\mathbf{68.0\% - 74.0\%\text{ League TS\%}}\))

Uncontested rim runaways, cross-court alley-oops, and trailing pull-up 3s against scrambling defenses generate massive scoring returns per possession.

Half-Court Execution (\(\mathbf{52.5\% - 55.5\%\text{ League TS\%}}\))

Set defenses with protected paint areas and locked-in rotations reduce scoring efficiency by nearly \(16\%\), making elite half-court creators vital in postseason play.

Using the TS Calculator (True Shooting Percentage) to separate a player's half-court numbers from transition numbers reveals whether their scoring efficiency is self-sustaining or dependent on fastbreak pace.

The Shot Chart Optimization Blueprint: Expected Points per Scoring Zone

Why modern NBA shot charts look like a horseshoe with heavy density at the rim and beyond the arc:

  • Drawn Shooting Foul (\(2\text{ Free Throws}\)): \(\mathbf{1.70\text{ PTS/TSA}}\) at \(85\%\text{ FT}\) (\(\mathbf{85.0\%\text{ TS\%}}\)) — The highest-yield outcome in basketball.
  • Restricted Area Rim Attacks (\(0\text{ to }3\text{ Feet}\)): \(\mathbf{1.36\text{ PTS/TSA}}\) at \(68\%\text{ Conversion}\) (\(\mathbf{68.0\%\text{ TS\%}}\)) — Uncontested layups, putbacks, and dunks.
  • Corner 3-Pointers (\(22\text{ Feet}\)): \(\mathbf{1.17\text{ PTS/TSA}}\) at \(39\%\text{ Conversion}\) (\(\mathbf{58.5\%\text{ TS\%}}\)) — The shortest perimeter shot on the floor.
  • Above-the-Break 3-Pointers (\(23.75\text{ Feet}\)): \(\mathbf{1.06\text{ PTS/TSA}}\) at \(35.3\%\text{ Conversion}\) (\(\mathbf{53.0\%\text{ TS\%}}\)) — Critical for stretching defense.
  • Contested Mid-Range Jumpers (\(10\text{ to }18\text{ Feet}\)): \(\mathbf{0.80\text{ PTS/TSA}}\) at \(40.0\%\text{ Conversion}\) (\(\mathbf{40.0\%\text{ TS\%}}\)) — Inefficient shot profile to avoid.

Frequently Asked Questions

Comprehensive answers to common questions about True Shooting Percentage (TS%), True Shot Attempts (TSA), and scoring efficiency formulas.