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Other Intangible Assets (Estimated future amortization expense) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Goodwill and Intangible Assets Disclosure [Abstract]      
Amortization of Intangible Assets $ 37,385 $ 34,266 $ 32,205
2022 36,702    
2023 33,086    
2024 27,616    
2025 22,703    
2026 19,904    
Thereafter 115,857    
Total $ 255,868 $ 275,760