Property, plant and equipment, net - Summary of Property, Plant and Equipment, Net (Details) - USD ($) $ in Millions	Jan. 29, 2022	Jan. 30, 2021
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 1,824.8	$ 1,803.6
Accumulated depreciation and amortization	(1,248.9)	(1,198.1)
Property, plant and equipment, net	575.9	605.5
Land and buildings
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	21.7	21.8
Leasehold Improvements
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	640.9	616.9
Furniture and fixtures
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	698.3	669.9
Equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	133.5	122.4
Software
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	251.5	334.2
Construction in progress
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 78.9	$ 38.4