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Passer Rating Calculator

Get a quarterback's passer rating from five passing stats: attempts, completions, yards, touchdowns and interceptions.

Level: Grades 6–7

  • Common Core standard 6.EE.A.2.cEvaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
  • Common Core standard 6.RP.A.3.cFind a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
Printable worksheet

Passer Rating Calculator

Inputs

Can be negative if completed passes lost yardage overall.

Result

Passer rating

100.7

20 of 30 for 250 yards, 2 TD and 1 INT is a passer rating of 100.7 (maximum 158.3).

Completion component
1.833
Yards component
1.333
Touchdown component
1.333
Interception component
1.542
Completion percentage
66.7%
Yards per attempt
8.33

See the step-by-step solution ↓

Step-by-step solution

  1. Score the completions: take the share of passes caught, subtract 0.3 and multiply by 5

    (2030−0.3)×5=1.833333

  2. Score the yards: take yards per attempt, subtract 3 and multiply by 0.25

    (25030−3)×0.25=1.333333

  3. Score the touchdowns: take touchdowns per attempt and multiply by 20

    230×20=1.333333

  4. Score the interceptions: start at 2.375 and take off 25 times the interceptions per attempt

    2.375−130×25=1.541667

  5. Add the four scores, divide by 6 and multiply by 100 to put the rating on its usual scale

    1.833333+1.333333+1.333333+1.5416676×100=6.0416676×100=100.694444

Test yourself

20 quick questions built from this calculator's formula: work out results, predict what happens when an input changes, and work backward from an answer. Every answer comes with the working.

What this calculator does

Turn a quarterback's passing stats into one score that shows how well they threw. Passer rating uses five stats from the box score (the game's stat sheet). They are attempts, completions, yards, touchdown passes and interceptions. It's the formula used in professional American football. It runs on a scale from 0 to 158.3.

The rating is built from four smaller scores, called components. This calculator works out each one on its own. It shows where any of them hit the lowest or highest allowed value. Then it combines them. That way, you can see exactly why a stat line rates the way it does.

Where it's used

Why this math matters outside the classroom:

  • Completion component. A quarterback completing 20 of 30 passes has a completion component of (0.667 − 0.3) × 5, which is about 1.83.
  • The highest rating. Because each component is capped at 2.375, the highest possible rating is 2.375 × 4 ÷ 6 × 100, about 158.3.
  • Game reports. Sports writers quote passer rating after each game, built from attempts, completions, yards, touchdowns and interceptions.
  • Comparing quarterbacks. Fans compare two quarterbacks' ratings to see who passed more efficiently over a full season.
  • Capped formulas. Students see why each component is held between 0 and 2.375, which keeps one extreme stat from swamping the others.

Grade level and standards: Grades 6–7; Common Core State Standards for Mathematics 6.EE.A.2.c, 6.RP.A.3.c. © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

How to use it

  1. Enter pass attempts and completions.
  2. Enter passing yards, touchdown passes and interceptions.
  3. Read the passer rating. Then check the four components in the working to see which parts of the game helped or hurt.

What the inputs mean

Passing yards (Yds)
Passing yards gained on completed passes. Yards lost on sacks don't count in passer rating.
Interceptions (Int)
Passes caught by the defense. A pass can't be both completed and intercepted. So completions plus interceptions can't be more than attempts.

Formula and method

a = (Cmp ÷ Att − 0.3) × 5
b = (Yds ÷ Att − 3) × 0.25
c = (TD ÷ Att) × 20
d = 2.375 − (Int ÷ Att) × 25
each component is limited to the range 0 to 2.375
rating = (a + b + c + d) ÷ 6 × 100

Att is pass attempts, Cmp is completions and Yds is passing yards. TD is touchdown passes and Int is interceptions. The letters a, b, c and d are the four components. Each one turns a per-attempt rate into a score from 0 to 2.375. The cap (top score) comes at a 77.5% completion rate, or 12.5 yards per attempt. It also comes with touchdowns on 11.875% of attempts, or zero interceptions.

With all four components at 2.375, the sum is 9.5. Then 9.5 ÷ 6 × 100 = 158.333…, which is why a perfect rating shows as 158.3. A component scores 1 at roughly typical rates from the past. That made 66.7 an average rating when the formula was designed.

Worked example

A quarterback completes 20 of 30 passes for 250 yards with 2 touchdowns and 1 interception.

  1. Completion: (20 ÷ 30 − 0.3) × 5 = 1.833333.
  2. Yards: (250 ÷ 30 − 3) × 0.25 = 1.333333.
  3. Touchdowns: (2 ÷ 30) × 20 = 1.333333.
  4. Interceptions: 2.375 − (1 ÷ 30) × 25 = 1.541667.
  5. Sum 6.041667, then 6.041667 ÷ 6 × 100 = 100.694444.

Result: The passer rating is 100.7. None of the components reached the 0 or 2.375 limits.

Understanding the result

In recent seasons, solid professional starters usually rate around 90 to 100. Above 100 is very good, and below 80 is poor. Passing across the league has gotten more efficient over the decades. So compare players from the same era.

Because of the caps, extra brilliance in one area stops counting once that component maxes out. A 90% completion game earns no more completion credit than a 77.5% one.

Assumptions and limitations

  • Stats are whole numbers. Touchdowns can't be more than completions. Completions plus interceptions can't be more than attempts.
  • The rating is shown to one decimal place, but the working keeps every digit.
  • Passer rating ignores sacks, rushing, fumbles, down and distance, and the game situation.
  • This is the professional formula. College football uses a different passing efficiency formula with no cap. So college numbers can't be compared with these.

Frequently asked questions

Why is a perfect passer rating 158.3?

Each of the four components tops out at 2.375. Four maxed-out components add to 9.5. The formula divides by 6 and multiplies by 100, which gives 158.333…. That rounds to 158.3.

Can passer rating be zero?

Yes. No component can go below zero. So picture a game with a completion rate of 30% or lower and 3 yards per attempt or fewer. Add no touchdowns and an interception on at least 9.5% of attempts. That game rates 0.0.

Is passer rating the same as total quarterback rating?

No. Passer rating uses only the five passing stats and a fixed public formula. Other quarterback ratings from media outlets look at each play in context, and they use different scales.

How this calculator is checked

Method: Standard professional American football passer rating formula (four components clamped to 0–2.375, sum ÷ 6 × 100). The calculation is covered by automated tests with known reference values and edge cases. Last updated 2026-10-18. Found a problem? Tell us.

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