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Business Acquisitions, Goodwill and Intangible Assets - Amortization Expense (Details) - USD ($)
$ in Thousands
6 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Sep. 30, 2017
Business Acquisitions, Goodwill and Intangible Assets      
Amortization expense $ 50,800 $ 50,600  
Estimated amortization expense for the remainder of fiscal 2018 and for the succeeding years      
2018 (six months remaining) 45,600    
2019 84,100    
2020 70,100    
2021 57,400    
2022 44,600    
Thereafter 66,400    
Intangible Assets, Net $ 368,215   $ 415,096