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Intangible Assets (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
Oct. 02, 2021 | Sep. 26, 2020 | Oct. 02, 2021 | Sep. 26, 2020 | Jan. 02, 2021
Intangible Assets [Line Items] |  |  |  |  |
Indefinite Lived Intangible Assets | $ 53,778 |  | $ 53,778 |  | $ 55,349
Finite Lived Intangible Assets: | 915,919 |  | 915,919 |  | 986,417
Accumulated Amortization: | (552,288) |  | (552,288) |  | (568,086)
Intangible Assets, Net (Excluding Goodwill) | 417,409 |  | 417,409 |  | 473,680
Intangible assets, period decrease |  |  | 54,500 |  |
Amortization of Intangible Assets | 16,800 | $ 18,400 | 50,800 | $ 54,500 |
Trade Names [Member] |  |  |  |  |
Intangible Assets [Line Items] |  |  |  |  |
Indefinite Lived Intangible Assets | 53,778 |  | 53,778 |  | 55,349
Trade Names [Member] |  |  |  |  |
Intangible Assets [Line Items] |  |  |  |  |
Finite Lived Intangible Assets: | 65,675 |  | 65,675 |  | 65,675
Accumulated Amortization: | (44,394) |  | (44,394) |  | (39,491)
Collection Routes [Member] |  |  |  |  |
Intangible Assets [Line Items] |  |  |  |  |
Finite Lived Intangible Assets: | 342,822 |  | 342,822 |  | 397,342
Accumulated Amortization: | (168,227) |  | (168,227) |  | (203,392)
Royalty, consulting land use and leasehold [Member] |  |  |  |  |
Intangible Assets [Line Items] |  |  |  |  |
Finite Lived Intangible Assets: | 25,801 |  | 25,801 |  | 25,909
Accumulated Amortization: | (7,746) |  | (7,746) |  | (6,976)
Permits [Member] |  |  |  |  |
Intangible Assets [Line Items] |  |  |  |  |
Finite Lived Intangible Assets: | 480,976 |  | 480,976 |  | 494,191
Accumulated Amortization: | (331,509) |  | (331,509) |  | (315,246)
Noncompete Agreements [Member] |  |  |  |  |
Intangible Assets [Line Items] |  |  |  |  |
Finite Lived Intangible Assets: | 645 |  | 645 |  | 3,300
Accumulated Amortization: | $ (412) |  | $ (412) |  | $ (2,981)

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- Definition The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=123570139&loc=d3e3602-108585 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(2) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 45 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=6388964&loc=d3e16225-109274 + Details
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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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