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Equity-Based Compensation - Summary of Company's Performance Stock Unit Activity (Details)
6 Months Ended
Mar. 31, 2024
$ / shares
shares
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Weighted Average Exercise Price, Outstanding at September 30, 2023 $ 19.06
Forfeited, weighted average exercise price 19.29
Weighted Average Exercise Price, Outstanding at March 31, 2024 $ 19.03
Performance Shares  
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]  
Beginning balance, Outstanding | shares | shares 512,000
Granted | shares | shares 918,000
Forfeited | shares | shares 186,000
Ending balance, Outstanding | shares | shares 1,244,000
Weighted Average Exercise Price, Outstanding at September 30, 2023 $ 7.48
Granted, weighted average exercise price 7.35
Forfeited, weighted average exercise price 7.41
Weighted Average Exercise Price, Outstanding at March 31, 2024 $ 7.39