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Commitments - Additional Information (Detail)
$ in Millions
12 Months Ended
Sep. 30, 2018
USD ($)
executive
Sep. 30, 2017
USD ($)
Sep. 30, 2016
USD ($)
Commitments and Contingencies Disclosure [Abstract]      
Rent expense under operating leases | $ $ 19.8 $ 18.6 $ 17.6
Number of executives in a management agreement providing for certain payments and other benefits in the event of a qualified change | executive 22