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Intangible Assets (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Oct. 01, 2022
Oct. 02, 2021
Oct. 01, 2022
Oct. 02, 2021
Jan. 01, 2022
Intangible Assets [Line Items]          
Indefinite Lived Intangible Assets: $ 49,485   $ 49,485   $ 53,133
Finite Lived Intangible Assets: 1,411,062   1,411,062   905,138
Accumulated Amortization: (586,934)   (586,934)   (560,470)
Intangible Assets, Net (Excluding Goodwill) 873,613   873,613   397,801
Change in gross intangible assets 582,100        
Amortization of Intangible Assets 25,400 $ 16,800 62,800 $ 50,800  
Trade Names [Member]          
Intangible Assets [Line Items]          
Indefinite Lived Intangible Assets: 49,485   49,485   53,133
Trade Names [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 76,125   76,125   65,675
Accumulated Amortization: (51,271)   (51,271)   (46,028)
Collection Routes [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 760,087   760,087   337,399
Accumulated Amortization: (176,149)   (176,149)   (169,984)
Royalty, consulting land use and leasehold [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 23,526   23,526   25,899
Accumulated Amortization: (7,697)   (7,697)   (7,997)
Permits [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 550,629   550,629   475,520
Accumulated Amortization: (351,285)   (351,285)   (336,020)
Noncompete Agreements [Member]          
Intangible Assets [Line Items]          
Finite Lived Intangible Assets: 695   695   645
Accumulated Amortization: $ (532)   $ (532)   $ (441)