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Property, plant and equipment, net - Schedule of Property, Plant and Equipment, Net (Details) - USD ($)
$ in Millions
Feb. 03, 2024
Jan. 28, 2023
Property, Plant and Equipment [Line Items]    
Property, plant and equipment, gross $ 1,938.9 $ 1,939.2
Accumulated depreciation and amortization (1,441.2) (1,352.7)
Property, plant and equipment, net 497.7 586.5
Land and buildings    
Property, Plant and Equipment [Line Items]    
Property, plant and equipment, gross 20.2 21.0
Leasehold Improvements    
Property, Plant and Equipment [Line Items]    
Property, plant and equipment, gross 710.9 684.1
Furniture and fixtures    
Property, Plant and Equipment [Line Items]    
Property, plant and equipment, gross 749.5 729.9
Equipment    
Property, Plant and Equipment [Line Items]    
Property, plant and equipment, gross 182.3 160.9
Software    
Property, Plant and Equipment [Line Items]    
Property, plant and equipment, gross 240.0 268.9
Construction in progress    
Property, Plant and Equipment [Line Items]    
Property, plant and equipment, gross $ 36.0 $ 74.4