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Organization and summary of significant accounting policies - Narrative (Details)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 28, 2023
USD ($)
Jan. 28, 2023
USD ($)
segment
Jan. 29, 2022
USD ($)
Jan. 30, 2021
USD ($)
Organization and critical accounting policies [Abstract]        
Number of reportable segments | segment   3    
Selling, General and Administrative Expense [Abstract]        
Labor and related expense   $ 1,430.3 $ 1,447.7 $ 996.1
Advertising and promotional costs [Abstract]        
Advertising expense   555.6 527.0 $ 343.0
Property, Plant and Equipment [Abstract]        
Capitalized computer software $ 127.8 $ 127.8 $ 80.7  
Minimum        
Organization and critical accounting policies [Abstract]        
Seasonal revenues, fourth quarter sales, percent 35.00%      
Minimum | Equipment, including software        
Property, Plant and Equipment [Abstract]        
Useful life   3 years    
Minimum | Cloud Computing Arrangements        
Property, Plant and Equipment [Abstract]        
Useful life   2 years    
Maximum        
Organization and critical accounting policies [Abstract]        
Seasonal revenues, fourth quarter sales, percent 40.00%      
Maximum | Equipment, including software        
Property, Plant and Equipment [Abstract]        
Useful life   7 years    
Maximum | Cloud Computing Arrangements        
Property, Plant and Equipment [Abstract]        
Useful life   4 years