QB Passer Rating Calculator: NFL’s Official Formula Explained


QB Passer Rating Calculator

Calculate NFL Quarterback Passer Rating and understand the metrics behind it.

Passer Rating Calculator Inputs



Total number of forward passes attempted.



Number of passes caught by an eligible receiver.



Total yards gained from completed passes.



Number of touchdowns scored via passing.



Number of passes caught by the opposing team.


Passer Rating Results

Passer Rating:

Completion Percentage (CMP%): %
Yards Per Attempt (Y/A):
Touchdowns Per Attempt (TD%): %
Interceptions Per Attempt (INT%): %

The NFL passer rating is a complex formula that combines four key statistical components: completion percentage, yards per attempt, touchdowns per attempt, and interceptions per attempt. Each component is scaled to a value between 0 and 2.375, which are then combined and adjusted to produce the final passer rating, typically ranging from 0 to 158.3.

What is QB Passer Rating?

The QB Passer Rating, often referred to as the NFL passer rating, is the official statistical measure used to evaluate the performance of a quarterback. It’s a complex formula designed to quantify a quarterback’s efficiency and effectiveness on a per-pass basis. This rating system, standardized by the NFL, takes into account key passing statistics: completions, attempts, passing yards, passing touchdowns, and interceptions. It provides a single, standardized number that allows for comparison between quarterbacks across different eras and games, though its limitations mean it shouldn’t be the sole determinant of a player’s overall impact.

This statistic is crucial for analysts, fans, and coaches trying to objectively assess quarterback performance. It’s used in various contexts, from season-long player rankings to in-game analysis. However, it’s important to note that this is a *rate* statistic, meaning it focuses on efficiency rather than total volume. A quarterback could have a very high passer rating with fewer attempts and yards if they are highly efficient, while another might accumulate more yards and touchdowns but have a lower rating due to a higher rate of mistakes like interceptions or incompletions.

Common misunderstandings often revolve around the perceived simplicity of the formula or the exclusion of other crucial quarterback skills like leadership, pocket presence, decision-making under pressure, or ability to extend plays. While the passer rating is a valuable tool, it’s just one piece of the puzzle when evaluating a QB.

Passer Rating Formula and Explanation

The NFL passer rating formula is an algorithm that combines four basic passing statistics. Each statistic is used to calculate a value that is then plugged into a formula. The four components are:

  • Completion Percentage (CMP%): Measures how often a quarterback completes a pass out of all attempted passes.
  • Yards Per Attempt (Y/A): Measures the average number of yards gained on each pass attempt.
  • Touchdowns Per Attempt (TD%): Measures the frequency of passing touchdowns relative to pass attempts.
  • Interceptions Per Attempt (INT%): Measures the frequency of interceptions relative to pass attempts.

The Calculation Breakdown

The formula works by calculating an “A,” “B,” “C,” and “D” value for each statistic, capping each at 2.375 and flooring at 0.

1. Calculate Component Scores (A, B, C, D):

Let:

  • ATT = Pass Attempts
  • COMP = Completions
  • YDS = Passing Yards
  • TD = Passing Touchdowns
  • INT = Interceptions

Component A (Completion Percentage):
A = ((COMP / ATT) - 0.3) * (10 / 3)
This score is capped between 0 and 2.375.

Component B (Yards Per Attempt):
B = ((YDS / ATT) - 3) * (0.25)
This score is capped between 0 and 2.375.

Component C (Touchdowns Per Attempt):
C = (TD / ATT) * (20)
This score is capped between 0 and 2.375.

Component D (Interceptions Per Attempt):
D = 2.375 - ((INT / ATT) * 25)
This score is capped between 0 and 2.375.

2. Calculate the Passer Rating:

Passer Rating = ((A + B + C + D) / 6) * 100

Each component score (A, B, C, D) is constrained to be between 0 and 2.375. If a calculation results in a value outside this range, it is set to the nearest boundary (0 or 2.375). For example, if a QB has 0 completions on 30 attempts, their ‘A’ value calculation would yield a negative number, but it would be capped at 0. Similarly, a very high touchdown rate would be capped at 2.375.

Variable Explanations Table

Passer Rating Variables and Units
Variable Meaning Unit Typical Range (Per Attempt)
Pass Attempts (ATT) Total number of forward passes thrown. Count 0+ (Realistically 5-60+ per game)
Completions (COMP) Number of passes successfully caught by an eligible receiver. Count 0+ (Usually a percentage of ATT)
Passing Yards (YDS) Total yards gained from completed passes. Yards 0+ (Realistically 0-15+ per attempt)
Passing Touchdowns (TD) Number of touchdowns thrown. Count 0+ (Usually a percentage of ATT)
Interceptions (INT) Number of passes caught by the defense. Count 0+ (Usually a percentage of ATT)
Completion Percentage (CMP%) (COMP / ATT) * 100 Percentage (%) 0% – 100% (Realistic 50% – 80%+)
Yards Per Attempt (Y/A) YDS / ATT Yards per attempt 0 – 15+ (Realistically 5-10+)
Touchdowns Per Attempt (TD%) (TD / ATT) * 100 Percentage (%) 0% – 23.75% (Max capped value for component C)
Interceptions Per Attempt (INT%) (INT / ATT) * 100 Percentage (%) 0% – 23.75% (Max capped value for component D)

Practical Examples

Let’s see how the calculator works with some realistic NFL scenarios.

Example 1: A Solid Performance

A quarterback has a good game, completing a high percentage of passes for decent yardage with no turnovers.

  • Pass Attempts: 35
  • Completions: 25
  • Passing Yards: 300
  • Passing Touchdowns: 2
  • Interceptions: 0

Calculation:

  • CMP%: (25 / 35) * 100 = 71.43%
  • Y/A: 300 / 35 = 8.57
  • TD%: (2 / 35) * 100 = 5.71%
  • INT%: (0 / 35) * 100 = 0%

Inputting these values into the calculator yields a Passer Rating of 121.0. This indicates an excellent performance.

Example 2: A Tough Day

A quarterback struggles, throwing multiple interceptions and missing many passes.

  • Pass Attempts: 40
  • Completions: 18
  • Passing Yards: 190
  • Passing Touchdowns: 1
  • Interceptions: 3

Calculation:

  • CMP%: (18 / 40) * 100 = 45.0%
  • Y/A: 190 / 40 = 4.75
  • TD%: (1 / 40) * 100 = 2.5%
  • INT%: (3 / 40) * 100 = 7.5%

Inputting these values into the calculator results in a Passer Rating of 45.6. This is a poor performance, largely driven by the low completion percentage and high interception rate.

How to Use This QB Passer Rating Calculator

  1. Gather Your Stats: Collect the total number of pass attempts, completions, passing yards, passing touchdowns, and interceptions for the quarterback you want to evaluate.
  2. Input Values: Enter each of these numbers into the corresponding input fields in the calculator. Ensure you are using the correct, raw counts for each statistic.
  3. Check Units: All inputs for this calculator are unitless counts (e.g., number of attempts, number of yards, number of touchdowns). No unit conversion is needed.
  4. View Results: The calculator will instantly display the calculated Passer Rating, along with the four key component percentages/ratios (CMP%, Y/A, TD%, INT%).
  5. Understand the Components: The intermediate values show you how each aspect of the QB’s performance contributes to the final rating. A high CMP% and Y/A are good, while high TD% and low INT% are also favorable.
  6. Copy and Share: Use the “Copy Results” button to easily save or share the calculated passer rating and its components.
  7. Reset: Click the “Reset” button to clear all fields and start a new calculation.

Key Factors That Affect QB Passer Rating

  1. Completion Percentage: A higher completion percentage directly increases the passer rating. Completing more passes than you attempt means you’re moving the ball effectively.
  2. Yards Per Attempt (Y/A): Higher yardage gained per pass attempt significantly boosts the rating. This indicates successful deep throws or consistent gains.
  3. Touchdown Rate: Each touchdown thrown contributes positively and significantly to the passer rating. This is a direct measure of scoring efficiency.
  4. Interception Rate: Interceptions are heavily penalized in the passer rating formula. Minimizing interceptions is crucial for a high score.
  5. Volume of Attempts: While the formula uses rates (per attempt), the total number of attempts influences how much each component impacts the final score. A QB with many attempts has more opportunities to accumulate yards and TDs, but also risks more turnovers.
  6. Game Situation & Scheme: A conservative offense that focuses on short passes might have a high CMP% but a lower Y/A, potentially capping its passer rating. Conversely, a “vertical” offense might risk lower CMP% and more interceptions for higher Y/A and TD potential. The formula doesn’t account for dropped passes, receiver mistakes, or pass interference penalties.
  7. Opponent Strength & Defense: Facing a weak pass defense might inflate stats and passer rating, while playing a top-tier secondary can suppress them.
  8. Quarterback Skill & Decision Making: Ultimately, the QB’s ability to read defenses, make accurate throws, avoid pressure, and decide when to throw the ball away is the primary driver behind all these statistical components.

FAQ

  • What is a good QB Passer Rating? A passer rating above 100 is generally considered excellent. A rating between 90-99 is very good, 80-89 is above average, 70-79 is average, and below 70 is considered below average to poor. The highest possible rating is 158.3.
  • Can a QB have a 0.0 passer rating? Yes, though it’s extremely rare. It would require a combination of extremely poor performance, such as only throwing interceptions or incompletions with no positive yardage or touchdowns, and the formula would cap values to result in 0.
  • Does Passer Rating account for dropped passes? No, the NFL passer rating formula does not distinguish between a completed pass, an incompletion due to a receiver’s drop, or an incompletion due to an inaccurate throw. They are all treated the same in the completion percentage calculation.
  • What about sacks? Are they included? Sacks are not directly included in the passer rating formula. They are counted as pass attempts but do not contribute to passing yards (they result in a loss of yardage). They negatively impact the Y/A and overall offensive efficiency, but don’t have a direct penalty in the passer rating formula like interceptions do.
  • Is Passer Rating the best way to evaluate a QB? It’s one of the most widely used objective measures, but it has limitations. It doesn’t capture rushing ability, leadership, or the impact of offensive line play. Advanced metrics and film study are also essential for a complete evaluation.
  • How does the formula handle tie games or unusual stats? The formula uses fixed mathematical constraints (capping at 0 and 2.375 for components). It’s designed to produce a numerical output regardless of unusual statistical combinations, though extreme scenarios can lead to ratings that might seem disproportionate without understanding the capping.
  • What’s the difference between NFL passer rating and QBR (ESPN’s Total Quarterback Rating)? QBR is a more complex, proprietary metric developed by ESPN that attempts to measure a quarterback’s total contribution on a 0-100 scale, factoring in situational football, down and distance, and rushing contributions. Passer rating is a simpler, older, NFL-official stat focused purely on passing efficiency.
  • Can I use this calculator for college or high school stats? While the formula is the same, the typical statistical ranges and the context of the game (e.g., rules, talent level) differ. The calculator will produce a number based on the formula, but its interpretation might vary outside the NFL context.

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