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Goodwill and other Identifiable Intangible Assets (Amortization Expense) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]      
Amortization expense $ 25,106 $ 27,203 $ 30,928
2025 21,811    
2026 21,579    
2027 21,579    
2028 20,410    
2029 18,355    
Cost of Sales and General and Administrative Expense [Member]      
Finite-Lived Intangible Assets [Line Items]      
Amortization expense $ 24,553 $ 25,226 $ 27,195