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Equity-Based Compensation - Summary of Company's Stock Option Activity (Details)
6 Months Ended
Mar. 31, 2024
$ / shares
shares
Share-Based Payment Arrangement [Abstract]  
Outstanding at September 30, 2023 | shares | shares 4,449,000
Forfeited | shares | shares 527,000
Outstanding at March 31, 2024 | shares | shares 3,922,000
Stock option vested and exercisable upon issuance | shares | shares 3,330,000
Expected to vest after Marchr 31, 2024 | shares 592,000
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
Forfeited, weighted average exercise price | $ / shares 19.29
Weighted Average Exercise Price, Outstanding at March 31, 2024 | $ / shares 19.03
Weighted Average Exercise Price, Vested and Exercisable at March 31, 2024 | $ / shares 18.98
Weighted Average Exercise Price, Expected to vest after March 31, 2024 | $ / shares $ 19.32