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Financial Instruments - Available for Sale Securities (Detail) - USD ($)
$ in Millions
12 Months Ended
Jan. 31, 2018
Jan. 31, 2017
Jan. 31, 2016
Investments, All Other Investments [Abstract]      
Cost method investments $ 112.3 $ 117.2  
Other than temporary impairment losses, investments 15.5 1.3  
Available-for-sale securities gross gains (losses) (0.3) 1.5 $ 0.1
Proceeds from sale and maturity of marketable securities $ 1,100.0 $ 2,300.0