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Equity-Based Compensation - Summary of Company's Stock Option Activity (Details)
9 Months Ended
Jun. 30, 2024
$ / shares
shares
Share-Based Payment Arrangement [Abstract]  
Outstanding at September 30, 2023 | shares | shares 4,449,000
Exercised | shares | shares 38,000
Forfeited | shares | shares 1,160,000
Outstanding at March 31, 2024 | shares | shares 3,251,000
Stock option vested and exercisable upon issuance | shares | shares 2,731,000
Expected to vest after Marchr 31, 2024 | shares 520,000
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 13.66
Forfeited, weighted average exercise price | $ / shares 19.08
Weighted Average Exercise Price, Outstanding at March 31, 2024 | $ / shares 19.11
Weighted Average Exercise Price, Vested and Exercisable at March 31, 2024 | $ / shares 19.05
Weighted Average Exercise Price, Expected to vest after March 31, 2024 | $ / shares $ 19.43