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Equity-Based Compensation - Summary of Company's Performance Stock Unit Activity (Details)
12 Months Ended
Sep. 30, 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
Weighted Average Exercise Price, Outstanding at September 30, 2024 $ 19.37
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 316,000
Ending balance, Outstanding | shares | shares 1,114,000
Weighted Average Exercise Price, Outstanding at September 30, 2023 $ 7.48
Granted, weighted average exercise price 7.35
Forfeited, weighted average exercise price 7.4
Weighted Average Exercise Price, Outstanding at September 30, 2024 $ 7.4