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Income taxes - Schedule of Components of Deferred Tax Assets and Liabilities (Details) - USD ($)
$ in Millions
Jan. 28, 2023
Jan. 29, 2022
Jan. 30, 2021
Feb. 01, 2020
Assets        
Foreign property, plant and equipment $ 0.7 $ 7.1    
Revenue deferral 79.3 88.6    
Lease liabilities 262.2 284.3    
Deferred compensation 8.0 7.7    
Retirement benefit obligations   1.5    
Share-based compensation 8.6 8.4    
Other temporary differences 95.6 42.4    
163(j) interest carryforward 13.8      
Net operating losses and foreign tax credits 65.9 84.3    
Value of capital losses 13.2 16.9    
Total gross deferred tax assets (liabilities) 547.3 541.2    
Valuation allowance (19.0) (27.9) $ (83.9) $ (38.4)
Deferred tax assets (liabilities) 528.3 513.3    
(Liabilities)        
Intangible assets (100.6) (77.0)    
US property, plant and equipment (70.0) (60.2)    
Inventory valuation (208.1) (237.8)    
Lease assets (230.3) (261.9)    
Retirement benefit obligations (0.2)      
Total gross deferred tax assets (liabilities) (609.2) (636.9)    
Total        
Total gross deferred tax assets (liabilities) (61.9) (95.7)    
Valuation allowance (19.0) (27.9) $ (83.9) $ (38.4)
Deferred tax liabilities, net (80.9) (123.6)    
Deferred tax assets 36.7 37.3    
Non-current liabilities $ (117.6) $ (160.9)