The NFL’s complex passer rating was devised in 1971 by a special committee headed by Don Smith, an executive at the Pro Football Hall of Fame. Don Weiss created the passer rating. Prior to that, the NFL had struggled with how to crown a passing king using multiple statistics.
This makes the maximum possible quarterback rating for the NFL 158.3. A perfect rating requires at least a 77.5% completion rate, at least 12.5 yards per attempt, a touchdown on at least 11.875% of attempts, and no interceptions.