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Goodwill and Intangible Assets - Changes in Carrying Amount of Goodwill (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Goodwill And Intangible Assets Disclosure [Abstract]    
Balance $ 1,119,329 $ 1,119,946
Acquisitions   3,591
Effect of foreign currency translation 8,869 (4,208)
Balance $ 1,128,198 $ 1,119,329