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Equity-Based Compensation - Stock Option Activity (Details) - $ / shares
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Stock Options    
Outstanding at beginning of period (shares) 5,210,566  
Granted (shares) 3,179,472  
Exercised (shares) (548,277)  
Forfeited (shares) (294,139)  
Outstanding at end of period (shares) 7,547,622 5,210,566
Weighted Average Exercise Price    
Outstanding at beginning of period, weighted average exercise price (in USD per share) $ 25.26 $ 21.73
Granted, weighted average exercise price (in USD per share) 29.88  
Exercised, weighted average exercise price (in USD per share) 17.04  
Forfeited, weighted average exercise price (in USD per share) 28.00  
Outstanding at end of period, weighted average exercise price (in USD per share) $ 25.26 $ 21.73