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Commitments and Contingencies - Additional Information (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Operating Leased Assets [Line Items]      
Operating leases rent expense $ 46.9 $ 43.9 $ 36.7
Facilities      
Operating Leased Assets [Line Items]      
Operating Leases, Future Minimum Payments Due, Future Minimum Sublease Rentals 15.2    
Facilities | Minimum      
Operating Leased Assets [Line Items]      
Annual sublease income 3.1    
Facilities | Maximum      
Operating Leased Assets [Line Items]      
Annual sublease income $ 2.4