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Intangible Assets (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Jul. 03, 2021
Jun. 27, 2020
Jul. 03, 2021
Jun. 27, 2020
Jan. 02, 2021
Intangible Assets [Line Items]          
Indefinite Lived Intangible Assets $ 54,298   $ 54,298   $ 55,349
Finite Lived Intangible Assets: 924,672   924,672   986,417
Accumulated Amortization: (539,935)   (539,935)   (568,086)
Intangible Assets, Net (Excluding Goodwill) 439,035   439,035   473,680
Intangible assets, period decrease     54,500    
Amortization of Intangible Assets 17,000 $ 18,000 34,000 $ 36,100  
Trade Names [Member]          
Intangible Assets [Line Items]          
Indefinite Lived Intangible Assets 54,298   54,298   55,349
Trade Names [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 65,675   65,675   65,675
Accumulated Amortization: (42,760)   (42,760)   (39,491)
Collection Routes [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 347,800   347,800   397,342
Accumulated Amortization: (164,454)   (164,454)   (203,392)
Royalty, consulting land use and leasehold [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 25,832   25,832   25,909
Accumulated Amortization: (7,493)   (7,493)   (6,976)
Permits [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 484,720   484,720   494,191
Accumulated Amortization: (324,845)   (324,845)   (315,246)
Noncompete Agreements [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 645   645   3,300
Accumulated Amortization: $ (383)   $ (383)   $ (2,981)