Property, plant and equipment, net - Summary of Property, Plant and Equipment, Net (Details) - USD ($) $ in Millions	Jan. 30, 2021	Feb. 01, 2020
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 1,803.6	$ 1,806.6
Accumulated depreciation and amortization	(1,198.1)	(1,064.7)
Property, plant and equipment, net	605.5	741.9
Land and buildings
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	21.8	23.4
Leasehold Improvements
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	616.9	640.7
Furniture and fixtures
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	669.9	601.2
Equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	122.4	199.1
Software
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	334.2	246.9
Construction in progress
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 38.4	$ 95.3