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Property, plant and equipment, net - Schedule of Property, Plant and Equipment, Net (Details) - USD ($) $ in Millions	Jan. 28, 2023	Jan. 29, 2022
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 1,939.2	$ 1,824.8
Accumulated depreciation and amortization	(1,352.7)	(1,248.9)
Property, plant and equipment, net	586.5	575.9
Land and buildings
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	21.0	21.7
Leasehold Improvements
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	684.1	640.9
Furniture and fixtures
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	729.9	698.3
Equipment
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	160.9	133.5
Software
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	268.9	251.5
Construction in progress
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 74.4	$ 78.9

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Amount of accumulated depreciation, depletion and amortization for physical assets used in the normal conduct of business to produce goods and services.

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Amount before accumulated depreciation, depletion and amortization of physical assets used in the normal conduct of business and not intended for resale. Examples include, but are not limited to, land, buildings, machinery and equipment, office equipment, and furniture and fixtures.

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