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Goodwill and Intangibles, net - Summary of Amortization Expense of Definite Lived Intangible Assets (Detail) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Finite-Lived Intangible Assets [Line Items]      
Finite-Lived Intangible Assets, Amortization Expense, Year Two $ 91.0    
Customer Relationships [Member]      
Finite-Lived Intangible Assets [Line Items]      
Amortization of intangibles     $ 87.8
VOBA      
Finite-Lived Intangible Assets [Line Items]      
Finite-Lived Intangible Assets, Amortization Expense, Year Two 90.9    
Finite-Lived Intangible Assets, Amortization Expense, Year Three 88.5    
Finite-Lived Intangible Assets, Amortization Expense, Year Four 79.7    
Finite-Lived Intangible Assets, Amortization Expense, Year Five 69.2    
Definite Lived Intangible Assets      
Finite-Lived Intangible Assets [Line Items]      
Amortization of intangibles $ 95.2 $ 93.9