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Goodwill and Intangible Assets - Estimated Future Amortization Expense of Intangible Assets (Details) - USD ($)
$ in Thousands
Sep. 30, 2023
Sep. 30, 2022
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]    
2024 $ 49,750  
2025 48,308  
2026 44,952  
2027 36,877  
2028 30,533  
Thereafter 83,881  
Net Book Value $ 294,301 $ 178,401