Property, plant and equipment, net - Summary of Property, Plant and Equipment, Net (Details) - USD ($) $ in Millions	Feb. 02, 2019	Feb. 03, 2018
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 2,083.3	$ 2,075.5
Accumulated depreciation and amortization	(1,282.8)	(1,197.6)
Property, plant and equipment, net	800.5	877.9
Land and buildings
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	34.0	35.9
Leasehold Improvements
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	688.8	689.8
Furniture and fixtures
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	802.9	804.2
Equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	196.1	177.0
Software
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	289.5	271.4
Construction in progress
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 72.0	$ 97.2