Property, plant and equipment, net - Summary of Property, Plant and Equipment, Net (Details) - USD ($) $ in Millions	Feb. 01, 2020	Feb. 02, 2019
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 1,806.6	$ 2,083.3
Accumulated depreciation and amortization	(1,064.7)	(1,282.8)
Property, plant and equipment, net	741.9	800.5
Land and buildings
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	23.4	34.0
Leasehold Improvements
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	640.7	688.8
Furniture and fixtures
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	601.2	802.9
Equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	199.1	196.1
Software
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	246.9	289.5
Construction in progress
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 95.3	$ 72.0