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Equity-Based Compensation - Summary of Company's Performance Stock Unit Activity (Details) - $ / shares
12 Months Ended
May 17, 2022
Sep. 30, 2022
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]    
Weighted Average Exercise Price, Outstanding at September 30, 2021   $ 21.55
Granted, weighted average exercise price   15.04
Forfeited, weighted average exercise price   18.04
Weighted Average Exercise Price, Outstanding at September 30, 2022   $ 19.07
Performance Shares    
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]    
Beginning balance, Outstanding   0
Granted 403,000 403,000
Number of shares vested   0
RSUs Forfeited 0 0
Ending balance, Outstanding   403,000
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]    
Weighted Average Exercise Price, Outstanding at September 30, 2021   $ 0
Granted, weighted average exercise price $ 12.41 12.41
Vested, weighted average exercise price   0
Forfeited, weighted average exercise price   0
Weighted Average Exercise Price, Outstanding at September 30, 2022   $ 12.41