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Equity-Based Compensation - Stock Option Activity (Details) - $ / shares
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Stock Options    
Outstanding at beginning of period (in shares) 8,222,322  
Granted (in shares) 1,286,629  
Exercised (in shares) (460,760)  
Forfeited (in shares) (471,521)  
Outstanding at end of period (in shares) 8,576,670 8,222,322
Options exercisable at end of period (in shares) 5,586,736  
Weighted Average Exercise Price    
Outstanding at beginning of period, weighted average exercise price (in USD per share) $ 25.16 $ 25.07
Granted, weighted average exercise price (in USD per share) 24.13  
Exercised, weighted average exercise price (in USD per share) 18.14  
Forfeited, weighted average exercise price (in USD per share) 27.69  
Outstanding at end of period, weighted average exercise price (in USD per share) 25.16 $ 25.07
Exercisable, weighted average exercise price (in USD per share) $ 24.79