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Equity-Based Compensation - Summary of Company's Stock Options Activity (Details)
12 Months Ended
Sep. 30, 2024
$ / shares
shares
Share-Based Payment Arrangement [Abstract]  
Outstanding at September 30, 2023 | shares 4,449,000
Exercised | shares | shares 166,000
Forfeited | Shares | shares 1,247,000
Outstanding at September 30, 2024 | shares 3,036,000
Vested and exercisable at September 30, 2024 | shares 2,527,000
Expected to vest after September 30, 2024 | shares 509,000
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding [Roll Forward]  
Weighted Average Exercise Price, Outstanding at September 30, 2023 | $ / shares $ 19.06
Exercised, Weighted Average Exercise Price | $ / shares 13.84
Forfeited, weighted average exercise price | $ / shares 19
Weighted Average Exercise Price, Outstanding at September 30, 2024 | $ / shares 19.37
Weighted Average Exercise Price, Vested and Exercisable at September 30, 2024 | $ / shares 19.33
Weighted Average Exercise Price, Expected to vest after September 30, 2024 | $ / shares $ 19.54