Article — NFL Passer Rating Calculator
NFL Passer Rating Calculator: how the 0 to 158.3 score works
NFL passer rating is a 0 to 158.3 score built from five box-score numbers: completions, attempts, yards, touchdowns, and interceptions. The league adopted it in 1973 and has used it without change ever since. A perfect rating of 158.3 requires at least 77.5% completions, 12.5 yards per attempt, an 11.875% touchdown rate, and zero interceptions.
What is NFL passer rating
Passer rating is a composite efficiency score for an NFL quarterback over any sample of pass attempts: one game, one season, one career. It combines four ratios — completion percentage, yards per attempt, touchdown rate, interception rate — each scaled to a 0 to 2.375 range, then averaged and multiplied by 100. The bounding of each component is what gives the rating its characteristic ceiling of 158.3.
The metric covers passes only. Sack yardage, scrambles, designed runs, and fumbles don't enter the formula. A quarterback who threw for 250 yards on 30 attempts but also rushed for 80 yards on five carries gets credit only for the passing line — one of the rating's frequent criticisms.
The NFL hired a statistician named Don Smith of the Pro Football Hall of Fame to design passer rating in 1971. The original brief was to create a single number that could rank quarterbacks across decades. The 158.3 ceiling is a side effect of the math, not a chosen target — it falls out of the algebra when you cap four components at 2.375 each and divide by 6.
The passer rating formula, step by step
Run the four components in order. Each gets clamped to a 0 to 2.375 range before the average. Use raw rates: a 65.7% completion clip is 0.657 in the formula.
- Component a (completion) = (completion percentage − 30) / 20. A 30% completion clip scores 0; 77.5% or higher scores 2.375.
- Component b (yards) = (yards per attempt − 3) / 4. 3.0 YPA scores 0; 12.5 YPA hits the cap.
- Component c (touchdowns) = touchdown rate / 0.05. 0% TD rate scores 0; 11.875% TD rate caps at 2.375.
- Component d (interceptions) = 2.375 − (interception rate / 0.04). 0% INT rate gives 2.375; 9.5% INT rate drops to 0.
- Rating = ((a + b + c + d) / 6) × 100, capped at 158.3.
Worked example: 25 completions on 35 attempts for 310 yards, 3 TD, 1 INT. Completion rate is 71.4%, so a = (71.4 − 30)/20 = 2.07. YPA is 8.86, so b = (8.86 − 3)/4 = 1.47. TD rate is 8.57%, so c = 8.57/5 = 1.71. INT rate is 2.86%, so d = 2.375 − 2.86/4 = 1.66. Sum is 6.91. Divide by 6, multiply by 100, get 115.2 — a Pro Bowl level performance.
Why passer rating caps at 158.3
The ceiling comes from the math, not a design choice. Each of the four components has a hard upper bound of 2.375. Four times 2.375 is 9.5; nine and a half divided by 6 is 1.5833... times 100 gives 158.33, which the NFL rounds to 158.3. The 1973 working committee set 0.30 completion and 0.05 TD rate as the linear scalars because a sample of "good" QBs hit those values across seasons.
completion ≥ 77.5% → a = 2.375YPA ≥ 12.5 → b = 2.375TD rate ≥ 11.875% → c = 2.375INT rate = 0 → d = 2.375Rating tiers and league averages
League-average passer rating has risen across every NFL decade since 1973. The 1970s sat in the high 60s; the 1980s pushed into the mid-70s; late 1990s crossed 80; the 2010s landed around 90; recent seasons sit near 93. Rule changes — 2004 illegal contact, 2018 roughing-the-passer expansion — drive the inflation. Joe Montana's 1989 MVP season at 112.4 rating sat far above the era average (75.9); a modern QB at 112 would be excellent but not era-defining.
Perfect-game history
A perfect 158.3 single-game rating has been logged dozens of times. Peyton Manning's 2004 Week 8 game against Houston (18/26, 320 yards, 5 TD, 0 INT) hit 158.3. No quarterback has finished an entire season at 158.3 — the closest is Aaron Rodgers's 2011 line of 122.5 across 502 attempts. Sustaining 77.5% completion, 12.5 YPA, and zero interceptions over 500 throws is a statistical near-impossibility.
NFL vs NCAA passer rating
College football uses a different formula: (8.4 × yards + 330 × TD − 200 × INT + 100 × completions) / attempts. No component cap, no overall ceiling. Theoretical maximum sits at 1261.6 for a perfect line; elite college seasons run 175 to 200. Because the scales differ by an order of magnitude, NFL and NCAA ratings can't be compared head to head — a Heisman-level college QB at NCAA 200 might rate NFL 100 to 110.
The scales are different (158.3 max in NFL, 1261.6 theoretical max in NCAA) and the formulas weight components differently. A 175 NCAA rating is not the same as a 175 NFL rating — the second number isn't even achievable.
Passer rating vs ESPN QBR
ESPN introduced QBR (Quarterback Rating) in 2011 as a more comprehensive alternative. QBR runs on a 0 to 100 scale, includes runs, accounts for sacks, weights for game state (down, distance, score margin), and adjusts for opponent strength. A 50 QBR is league average, 65+ is Pro Bowl, 80+ is MVP-level.
They usually agree on great games. They diverge on dual-threat quarterbacks and stat-padders in losses. Lamar Jackson, who adds 700 to 1,000 rushing yards per season, often rates higher in QBR than in passer rating.
When evaluating a quarterback, look at passer rating and QBR side by side. Big gaps in either direction point to context the simpler metric is missing. A 110 rating with a 55 QBR usually means stat-padding in low-leverage situations.
Common passer rating mistakes
The first mistake is treating passer rating as a fixed scale across eras. League average has shifted by 25 points since 1973. A 90 rating in 1985 is roughly equivalent to a 105 rating today after era adjustment.
The second is forgetting that rushing yards don't count. Mobile quarterbacks who pick up first downs with their legs look worse in passer rating than they actually play. Look at total adjusted yards per attempt (which adds rushing yards) or just count first downs converted for a fuller picture.
The third is reading single-game ratings as deterministic. A 75-rating game can be the better performance if it came against a top defense in bad weather. A 110 rating in a 50 to 7 blowout over a weak opponent inflates the number. Sample size matters: career and season ratings on 250+ attempts are far more stable than single-game ratings on 20.