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Goodwill and Intangibles - Schedule of Estimated Amortization Expense of Intangible Assets (Details) - USD ($)
$ in Thousands
Jun. 30, 2023
Sep. 30, 2022
Goodwill and Intangible Assets Disclosure [Abstract]    
2023 $ 52,200  
2024 207,000  
2025 206,500  
2026 183,600  
2027 150,700  
Thereafter 554,700  
Total $ 1,354,677 $ 1,394,052