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Intangible Assets (Details) - USD ($)
$ in Thousands
3 Months Ended
Apr. 02, 2022
Apr. 03, 2021
Jan. 01, 2022
Intangible Assets [Line Items]      
Indefinite Lived Intangible Assets: $ 52,502   $ 53,133
Finite Lived Intangible Assets: 933,482   905,138
Accumulated Amortization: (576,357)   (560,470)
Intangible Assets, Net (Excluding Goodwill) 409,627   397,801
Change in gross intangible assets 28,000    
Amortization of Intangible Assets 16,500 $ 17,000  
Trade Names [Member]      
Intangible Assets [Line Items]      
Indefinite Lived Intangible Assets: 52,502   53,133
Trade Names [Member]      
Intangible Assets [Line Items]      
Finite Lived Intangible Assets: 65,675   65,675
Accumulated Amortization: (47,662)   (46,028)
Collection Routes [Member]      
Intangible Assets [Line Items]      
Finite Lived Intangible Assets: 365,933   337,399
Accumulated Amortization: (175,450)   (169,984)
Royalty, consulting land use and leasehold [Member]      
Intangible Assets [Line Items]      
Finite Lived Intangible Assets: 25,738   25,899
Accumulated Amortization: (8,104)   (7,997)
Permits [Member]      
Intangible Assets [Line Items]      
Finite Lived Intangible Assets: 475,491   475,520
Accumulated Amortization: (344,672)   (336,020)
Noncompete Agreements [Member]      
Intangible Assets [Line Items]      
Finite Lived Intangible Assets: 645   645
Accumulated Amortization: $ (469)   $ (441)