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Summary of Significant Accounting Policies - Acquisition-Related Costs (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Accounting Policies [Abstract]      
Business Combination, Integration Related Costs $ 16,067 $ 15,224 $ 6,070
Professional service fees 3,450 12,622 10,876
Acquisition-related adjustments (3,416) (106) 220
Total $ 16,101 $ 27,740 $ 17,166