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Interest and Other Expense, net (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 31, 2020
Jan. 31, 2019
Jan. 31, 2018
Other Income and Expenses [Abstract]      
Interest and investment expense, net $ (54.0) $ (52.1) $ (34.5)
Gain (loss) on foreign currency 3.9 5.1 (3.3)
(Loss) gain on strategic investments (3.3) 12.5 (16.4)
Other income 5.2 16.8 6.0
Interest and other expense, net $ (48.2) $ (17.7) $ (48.2)