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Goodwill and Intangibles, net - Summary of Definite Lived Intangible Assets (Detail) - USD ($)
$ in Millions
6 Months Ended
Mar. 31, 2018
Sep. 30, 2017
Finite-Lived Intangible Assets [Line Items]    
Document Period End Date Mar. 31, 2018  
Cost $ 875.3 $ 884.8
Accumulated Amortization (314.8) (297.1)
Net 560.5 587.7
Customer Relationships [Member]    
Finite-Lived Intangible Assets [Line Items]    
Cost 675.1 671.7
Accumulated Amortization (243.1) (222.3)
Net $ 432.0 449.4
Customer Relationships [Member] | Minimum [Member]    
Finite-Lived Intangible Assets [Line Items]    
Finite-Lived Intangible Asset, Useful Life 2 years  
Customer Relationships [Member] | Maximum    
Finite-Lived Intangible Assets [Line Items]    
Finite-Lived Intangible Asset, Useful Life 20 years  
Trade Names [Member]    
Finite-Lived Intangible Assets [Line Items]    
Cost $ 5.5 18.5
Accumulated Amortization (3.0) (15.1)
Net 2.5 3.4
Technology-Based Intangible Assets [Member]    
Finite-Lived Intangible Assets [Line Items]    
Cost 194.7 194.6
Accumulated Amortization (68.7) (59.7)
Net $ 126.0 $ 134.9
Technology Assets [Member] | Minimum [Member]    
Finite-Lived Intangible Assets [Line Items]    
Finite-Lived Intangible Asset, Useful Life 6 years  
Technology Assets [Member] | Maximum    
Finite-Lived Intangible Assets [Line Items]    
Finite-Lived Intangible Asset, Useful Life 18 years  
Trade Name [Member] | Minimum [Member]    
Finite-Lived Intangible Assets [Line Items]    
Finite-Lived Intangible Asset, Useful Life 5 years  
Trade Name [Member] | Maximum    
Finite-Lived Intangible Assets [Line Items]    
Finite-Lived Intangible Asset, Useful Life 13 years