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Goodwill (Changes in the Carrying Amount of Goodwill) (Details)
3 Months Ended
Apr. 30, 2018
USD ($)
Goodwill [Roll Forward]  
Goodwill gross, beginning of the period $ 1,769,400,000
Less: accumulated impairment losses, beginning of the period (149,200,000)
Goodwill net, beginning of the period 1,620,200,000
Effect of foreign currency translation (15,300,000)
Goodwill net, end of the period 1,604,900,000
Goodwill impairment $ 0