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Equity-Based Compensation - Summary of Company's Restricted Stock Unit Activity (Details)
6 Months Ended
Mar. 31, 2025
$ / shares
shares
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]  
Weighted Average Exercise Price, Outstanding at September 30, 2024 $ 19.37
Forfeited, weighted average exercise price 22.08
Weighted Average Exercise Price, Outstanding at March 31, 2025 $ 19.23
Restricted Stock Units (RSU) [Member]  
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]  
Beginning balance, Outstanding | shares 3,714,000
Granted | shares 704,000
Vested | shares 972,000
Forfeited | shares 85,000
Ending balance, Outstanding | shares 3,361,000
Weighted Average Exercise Price, Outstanding at September 30, 2024 $ 8.5
Granted, weighted average exercise price 16.92
Vested, weighted average exercise price 8.61
Forfeited, weighted average exercise price 9.94
Weighted Average Exercise Price, Outstanding at March 31, 2025 $ 10.2