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Segment and Geographic Information - Revenue By Geographic Segment (Parenthetical) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Total revenue $ 1,458,415 $ 1,255,631 $ 1,241,824
Calculated under Revenue Guidance in Effect before Topic 606      
Total revenue   1,311,494 1,241,824
United States      
Total revenue 621,800 514,400 487,300
United States | Calculated under Revenue Guidance in Effect before Topic 606      
Total revenue   541,700  
Germany      
Total revenue $ 198,700 185,400 $ 193,300
Germany | Calculated under Revenue Guidance in Effect before Topic 606      
Total revenue   $ 197,200