Commitments and Contingencies - Rent Expenses for Operating Leases (Details) - USD ($) $ in Millions	12 Months Ended
Jan. 31, 2019	Jan. 31, 2018	Jan. 31, 2017
Commitments and Contingencies Disclosure [Abstract]
Minimum rent for retail locations	$ 217.0	$ 198.7	$ 184.1
Contingent rent based on sales	38.9	32.7	32.4
Office, distribution and manufacturing facilities and equipment	38.3	40.0	40.0
Operating leases, rent expense, net	$ 294.2	$ 271.4	$ 256.5

- Definition

The increases or decreases in lease payments that result from changes occurring after the inception of the lease in the factors (other than the passage of time) on which lease payments are based, except that any escalation of minimum lease payments relating to increases in construction or acquisition cost of the leased property or for increases in some measure of cost or value during the construction or preconstruction period, are excluded from contingent rentals. Contingent rentals also may include amounts for which the triggering events have not yet occurred or the specified targets for which have not yet been achieved (such as sales based percentage rent), but which events are considered probable of occurring or which specified targets are considered probable of being achieved.

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