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Variable Interest Entities - Equity Method Investments (Detail)
$ in Thousands
3 Months Ended 9 Months Ended
Oct. 29, 2022
USD ($)
Oct. 30, 2021
USD ($)
Oct. 29, 2022
USD ($)
Oct. 30, 2021
USD ($)
Jan. 29, 2022
USD ($)
Jan. 30, 2021
item
Variable Interest Entity [Line Items]            
Share of equity method investments losses $ 1,922 $ 2,313 $ 6,118 $ 6,894    
Capital contributions     2,313 4,816    
Distributions received or undistributed earnings of equity method investments 0 0 0 0    
Aspen LLCs            
Variable Interest Entity [Line Items]            
Joint venture, percentage of ownership           50.00%
Number of privately held limited companies | item           3
Share of equity method investments losses 1,900 $ 2,300 6,100 $ 6,900    
Minimum capital contributions required     100,000      
Aspen LLCs | Prepaid expenses and other current assets            
Variable Interest Entity [Line Items]            
Promissory notes receivable $ 8,800   $ 8,800   $ 8,400  
Third Aspen LLC            
Variable Interest Entity [Line Items]            
Joint venture, percentage of ownership           70.00%