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Goodwill and Intangible Assets - Estimated Future Amortization Expense of Intangible Assets (Details) - USD ($)
$ in Thousands
Mar. 31, 2023
Sep. 30, 2022
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]    
2023 $ 24,217  
2024 50,542  
2025 49,151  
2026 45,754  
2027 37,573  
Thereafter 116,690  
Net Book Value $ 323,927 $ 178,401