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Inventories (Tables)
 6 Months Ended
Jul. 31, 2018
Inventory Disclosure [Abstract]  
Components of Inventories
(in millions)
July 31, 2018
 
January 31, 2018
 
July 31, 2017
Finished goods
          $
1,335.8

 
          $
1,314.6

 
          $
1,281.8

Raw materials
888.6

 
821.4

 
840.6

Work-in-process
187.4

 
117.5

 
114.5

Inventories, net
          $
2,411.8

 
          $
2,253.5

 
          $
2,236.9