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Financial Instruments - Derivative Narrative and Fair Value of Derivative Instruments (Detail) - USD ($)
$ in Millions
12 Months Ended
Jan. 31, 2019
Jan. 31, 2018
Jan. 31, 2017
Jan. 31, 2016
Derivatives, Fair Value [Line Items]        
Notional amount of foreign currency forward contracts not designated as cash flow hedges $ 803.5 $ 619.9    
Net loss expected to be recognized into earnings (210.9) (256.0) $ 733.6 $ 1,619.6
Derivative asset, net 8.5 8.2    
Derivative liability, net 7.4 26.6    
Net Unrealized Gains (Losses) on Derivative Instruments        
Derivatives, Fair Value [Line Items]        
Net loss expected to be recognized into earnings 15.0 (16.6) $ 14.6  
Foreign Exchange Contracts        
Derivatives, Fair Value [Line Items]        
Notional amount of foreign currency forward contracts not designated as cash flow hedges 579.8 329.6    
Designated as Hedging Instrument | Foreign Exchange Contracts | Prepaid expenses and other current assets        
Derivatives, Fair Value [Line Items]        
Derivative asset, net 4.3 6.2    
Designated as Hedging Instrument | Foreign Exchange Contracts | Other accrued liabilities        
Derivatives, Fair Value [Line Items]        
Derivative liability, net 3.3 18.7    
Not Designated as Hedging Instrument | Prepaid expenses and other current assets        
Derivatives, Fair Value [Line Items]        
Derivative asset, net 4.2 2.0    
Not Designated as Hedging Instrument | Other accrued liabilities        
Derivatives, Fair Value [Line Items]        
Derivative liability, net $ 4.1 $ 7.9    
Minimum | Foreign Exchange Contracts        
Derivatives, Fair Value [Line Items]        
Derivative, term of contract 1 month      
Maximum | Foreign Exchange Contracts        
Derivatives, Fair Value [Line Items]        
Derivative, term of contract 12 months