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Equity-Based Compensation - Summary of Company's Restricted Stock Award Activity (Details)
6 Months Ended
Mar. 31, 2023
$ / shares
shares
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Weighted Average Exercise Price, Outstanding at September 30, 2022 $ 19.07
Forfeited, weighted average exercise price 19.63
Weighted Average Exercise Price, Outstanding at March 31, 2023 $ 19.05
Restricted Stock Awards  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Beginning balance, Outstanding | shares | shares 541,000
Exercised | shares | shares 131,000
Forfeited | shares | shares 23,000
Ending balance, Outstanding | shares | shares 387,000
Weighted Average Exercise Price, Outstanding at September 30, 2022 $ 14.40
Exercised, Weighted Average Exercise Price 13.60
Forfeited, weighted average exercise price 14.66
Weighted Average Exercise Price, Outstanding at March 31, 2023 $ 14.66