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Business Acquisitions, Goodwill and Intangible Assets - Amortization Expense (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Business Acquisitions, Goodwill and Intangible Assets      
Amortization expense $ 96,700 $ 102,700 $ 202,400
Estimated amortization expense for the succeeding years      
2019 83,700    
2020 69,800    
2021 56,800    
2022 44,000    
2023 39,500    
Thereafter 26,100    
Intangible Assets, Net $ 319,892 $ 415,096