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Acquisitions - Additional Information (Detail) - USD ($)
12 Months Ended
Dec. 29, 2021
May 03, 2021
Jan. 28, 2023
Jan. 29, 2022
[1]
Jan. 30, 2021
[1]
Business Acquisition [Line Items]          
Goodwill     $ 264,945,000 $ 271,416,000 $ 13,267,000
Quiet Logistics          
Business Acquisition [Line Items]          
Acquisition date Dec. 29, 2021        
Aggregate purchase price in cash $ 360,600,000        
Acquired intangible assets $ 51,500,000   51,500,000    
Weighted average cost of capital 14.50%        
Goodwill $ 248,800,000   248,798,000    
Increase decrease in deferred tax asset     6,300,000    
Goodwill deductible for income tax purposes     $ 0    
Quiet Logistics | American Eagle          
Business Acquisition [Line Items]          
Goodwill 101,600,000        
Quiet Logistics | Aerie          
Business Acquisition [Line Items]          
Goodwill 110,600,000        
Quiet Logistics | Supply Chain Platform          
Business Acquisition [Line Items]          
Goodwill 36,600,000        
Quiet Logistics | Customer Relationships          
Business Acquisition [Line Items]          
Acquired intangible assets $ 39,000,000.0        
Definite-lived intangibles, useful life 10 years        
Quiet Logistics | Trade Names          
Business Acquisition [Line Items]          
Acquired intangible assets $ 12,500,000        
Definite-lived intangibles, useful life 15 years        
AirTerra          
Business Acquisition [Line Items]          
Acquisition date   May 03, 2021      
Aggregate purchase price paid   $ 3,000,000.0      
[1] Beginning balances for both periods include accumulated impairment of $4.2 million.