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INTANGIBLE ASSETS AND GOODWILL (Narrative) (Details)
 12 Months Ended
Dec. 31, 2023
USD ($)
Jan. 01, 2023
USD ($)
Jan. 02, 2022
USD ($)
Disclosure of detailed information about intangible assets [line items]      
Write-downs and impairments   $ 62,300,000  
Intangible assets $ 261,419,000 229,951,000 $ 229,951,000
Key assumption used in estimation of unit's recoverable amount, EBITDA multiple 7.5    
Decrease factor 0.10    
Hosiery and underwear      
Disclosure of detailed information about intangible assets [line items]      
Recoverable amount of asset or cash-generating unit $ 365,300,000 265,500,000  
Cash-generating units | Textile And Sewing      
Disclosure of detailed information about intangible assets [line items]      
Reversal of intangible asset impairment 40,800,000    
Impairment loss 0 62,300,000  
Computer software      
Disclosure of detailed information about intangible assets [line items]      
Intangible assets 16,079,000   $ 17,106,000
Computer software | Internally-generated      
Disclosure of detailed information about intangible assets [line items]      
Intangible assets 11,700,000 13,600,000  
Computer software, assets not yet utilized in operations      
Disclosure of detailed information about intangible assets [line items]      
Intangible assets $ 1,200,000 $ 4,400,000