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Leases - Schedule of Rent Expense as of Prior Year End (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 31, 2020
Jan. 31, 2019
Jan. 31, 2018
Leases [Abstract]      
Minimum rent for retail locations   $ 225.1 $ 206.6
Contingent rent based on sales   167.9 151.6
Office, distribution and manufacturing facilities and equipment   43.8 44.8
Gains on sale-leaseback arrangements $ 0.0 (8.4) (8.2)
Sublease income   (5.2) (4.5)
Operating leases, rent expense, net   $ 423.2 $ 390.3