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Equity-Based Compensation - Summary of Company's Stock Option Activity (Details)
6 Months Ended
Mar. 31, 2023
$ / shares
shares
Share-Based Payment Arrangement [Abstract]  
Outstanding at September 30, 2022 | shares | shares 7,489,000
Forfeited | shares | shares 252,000
Outstanding at March 31, 2023 | shares | shares 7,237,000
Stock option vested and exercisable upon issuance | shares 4,954,000
Expected to vest after Marchr 31, 2023 | shares 2,283,000
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Outstanding [Roll Forward]  
Weighted Average Exercise Price, Outstanding at September 30, 2022 | $ / shares $ 19.07
Forfeited, weighted average exercise price | $ / shares 19.63
Weighted Average Exercise Price, Outstanding at March 31, 2023 | $ / shares 19.05
Weighted Average Exercise Price, Vested and Exercisable at December 31, 2022 | $ / shares 19.24
Weighted Average Exercise Price, Expected to vest after December 31, 2022 | $ / shares $ 18.63