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Income taxes - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 27, 2023
Feb. 01, 2025
Feb. 03, 2024
Jan. 28, 2023
Jan. 29, 2022
Operating Loss Carryforwards [Line Items]          
Statutory tax rate (percent)   21.00% 21.00% 21.00%  
Deferred Tax Assets, Bermuda economic transition adjustment   $ 263.3 $ 263.3    
Amount of Bermuda deferred tax asset possibly recognizable due to two year limitation   52.7      
Goodwill, Impairment Loss   272.5 0.0 $ 0.0  
Income tax examination, increase (decrease) in liability from prior year     (20.5) 20.5  
Other Tax Expense (Benefit)     13.5    
Net operating loss carryforwards   58.1 66.0    
Capital loss carryforwards   11.3 11.5    
Decrease in valuation allowance   (3.4)      
Unrecognized tax benefits   28.1 26.0 $ 85.9 $ 24.9
Accrued interest related to unrecognized tax benefits   15.8      
Accrued penalties   0.8      
Increase resulting from settlements with taxing authorities   40.7      
Domestic Tax Jurisdiction          
Operating Loss Carryforwards [Line Items]          
Net operating loss carryforwards   34.4      
Internal Revenue Service (IRS)          
Operating Loss Carryforwards [Line Items]          
Net operating loss carryforwards   22.3      
Foreign Tax Jurisdiction          
Operating Loss Carryforwards [Line Items]          
Net operating loss carryforwards   23.7      
Capital loss carryforwards   $ 11.3 $ 11.5    
Bermuda          
Operating Loss Carryforwards [Line Items]          
Statutory tax rate (percent) 15.00% 0.00%