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Commitments and Contingencies - Operating Leases (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Operating Leases [Abstract]      
Operating Leases, Rent Expense $ 12.0 $ 11.3 $ 9.9
Operating Leases, Future Minimum Payments Due, Fiscal Year Maturity [Abstract]      
Operating Leases, Future Minimum Payments Due, Next Twelve Months 10.1    
Operating Leases, Future Minimum Payments, Due in Two Years 9.3    
Operating Leases, Future Minimum Payments, Due in Three Years 8.1    
Operating Leases, Future Minimum Payments, Due in Four Years 5.8    
Operating Leases, Future Minimum Payments, Due in Five Years 4.5    
Operating Leases, Future Minimum Payments, Due Thereafter 5.6    
Operating Leases, Future Minimum Payments Due $ 43.4