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INTANGIBLE ASSETS AND GOODWILL (Narrative) (Details)
 3 Months Ended 12 Months Ended
Apr. 04, 2021
USD ($)
Mar. 29, 2020
USD ($)
Jan. 02, 2022
USD ($)
Jan. 03, 2021
USD ($)
Dec. 29, 2019
USD ($)
Disclosure of detailed information about intangible assets [line items]          
Intangible assets     $ 306,630,000 $ 289,901,000 $ 289,901,000
(Impairment reversal, net of write-downs)   $ 94,000,000 $ (31,459,000) 93,989,000  
Reversal of intangible asset impairment $ 55,600,000        
Key assumption used in estimation of unit's recoverable amount, EBITDA multiple     10    
Write-downs and impairments     $ 31,500,000    
Hosiery and underwear          
Disclosure of detailed information about intangible assets [line items]          
Recoverable amount of asset or cash-generating unit     544,000,000.0 273,500,000  
Cash-generating units | Textile And Sewing          
Disclosure of detailed information about intangible assets [line items]          
(Impairment reversal, net of write-downs)     0    
Cash-generating units | Hosiery and underwear          
Disclosure of detailed information about intangible assets [line items]          
(Impairment reversal, net of write-downs)     24,100,000    
Trademarks          
Disclosure of detailed information about intangible assets [line items]          
Reversal of impairment loss recognised in profit or loss, intangible assets other than goodwill     37,900,000    
Trademarks | Cash-generating units | Hosiery and underwear          
Disclosure of detailed information about intangible assets [line items]          
(Impairment reversal, net of write-downs)     10,400,000    
Customer contracts and customer relationships          
Disclosure of detailed information about intangible assets [line items]          
Reversal of impairment loss recognised in profit or loss, intangible assets other than goodwill     17,700,000    
Customer contracts and customer relationships | Cash-generating units | Hosiery and underwear          
Disclosure of detailed information about intangible assets [line items]          
(Impairment reversal, net of write-downs)     13,700,000    
Computer software          
Disclosure of detailed information about intangible assets [line items]          
Intangible assets     17,361,000   $ 19,273,000
Computer software | Internally-generated          
Disclosure of detailed information about intangible assets [line items]          
Intangible assets     14,100,000 16,100,000  
Computer software, assets not yet utilized in operations          
Disclosure of detailed information about intangible assets [line items]          
Intangible assets     $ 3,600,000 $ 1,900,000