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Business Acquisitions, Goodwill and Intangible Assets - Amortization Expense (Details) - USD ($)
$ in Thousands
6 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Sep. 30, 2018
Business Acquisitions, Goodwill and Intangible Assets      
Amortization expense $ 43,300 $ 50,800  
Estimated amortization expense for the succeeding years      
2019 (six months remaining) 41,500    
2020 69,600    
2021 56,600    
2022 43,900    
2023 39,500    
Thereafter 26,100    
Intangible Assets, Net $ 277,208   $ 319,892