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Goodwill and Intangibles, net - Summary of Changes in Carrying Amounts of Goodwill and Intangible Assets (Detail) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2018
Mar. 31, 2017
Sep. 30, 2017
Goodwill And Intangible Assets [Line Items]          
Cost $ 875.3   $ 875.3   $ 884.8
Intangible Assets, Including Goodwill [Roll Forward]          
Beginning Balance, Goodwill     2,277.1    
Beginning Balance, Indefinite Lived Intangible Assets     1,024.3    
Beginning Balance, Finite Lived Intangible Assets     587.7    
Beginning Balance, Intangible Assets, Excluding Goodwill     1,612.0    
Less: Components of amortization:          
Effect of translation, Goodwill     3.1    
Effect of translation, Finite Lived intangible assets     6.9    
Ending Balance, Goodwill 2,280.2   2,280.2    
Ending Balance, Indefinite Lived Intangible Assets 1,029.0   1,029.0    
Ending Balance, Finite Lived Intangible Assets 560.5   560.5    
Ending Balance, Intangible Assets, Excluding Goodwill 1,589.5   1,589.5    
Finite-Lived Intangible Assets, Accumulated Amortization 314.8   314.8   297.1
Periodic amortization          
Less: Components of amortization:          
Amortization of Intangible Assets     (29.4)    
Customer Relationships [Member]          
Goodwill And Intangible Assets [Line Items]          
Cost 675.1   675.1   671.7
Intangible Assets, Including Goodwill [Roll Forward]          
Beginning Balance, Finite Lived Intangible Assets     449.4    
Less: Components of amortization:          
Ending Balance, Finite Lived Intangible Assets 432.0   432.0    
Finite-Lived Intangible Assets, Accumulated Amortization 243.1   243.1   222.3
Definite Lived Intangible Assets          
Intangible Assets, Including Goodwill [Roll Forward]          
Beginning Balance, Finite Lived Intangible Assets     587.7    
Less: Components of amortization:          
Amortization of Intangible Assets (14.4) $ (15.1) (29.4) $ (30.5)  
Effect of translation, Finite Lived intangible assets     2.2    
Ending Balance, Finite Lived Intangible Assets 560.5   560.5    
Definite Lived Intangible Assets | Periodic amortization          
Less: Components of amortization:          
Amortization of Intangible Assets     (29.4)    
Trade Names [Member]          
Goodwill And Intangible Assets [Line Items]          
Cost 5.5   5.5   18.5
Intangible Assets, Including Goodwill [Roll Forward]          
Beginning Balance, Finite Lived Intangible Assets     3.4    
Less: Components of amortization:          
Ending Balance, Finite Lived Intangible Assets 2.5   2.5    
Finite-Lived Intangible Assets, Accumulated Amortization $ 3.0   3.0   $ 15.1
Indefinite Lived Intangible Assets Excluding Goodwill [Member]          
Less: Components of amortization:          
Effect of translation, Indefinite Lived intangible assets     $ 4.7