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Inventories - Components of Inventories (Detail) - USD ($)
$ in Millions
Oct. 31, 2017
Jan. 31, 2017
Oct. 31, 2016
Inventory Disclosure [Abstract]      
Finished goods $ 1,328.9 $ 1,249.4 $ 1,389.4
Raw materials 869.2 806.3 814.0
Work-in-process 129.3 101.9 99.7
Inventories, net $ 2,327.4 $ 2,157.6 $ 2,303.1