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Intangibles (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | ---
Oct. 02, 2021 | Sep. 26, 2020 | Oct. 02, 2021 | Sep. 26, 2020 | Jan. 02, 2021
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Finite-Lived Intangible Assets, Gross | $ 896,652 |  | $ 896,652 |  | $ 826,924
Finite-Lived Intangible Assets, Accumulated Amortization | (458,451) |  | (458,451) |  | $ (403,347)
Amortization of Intangible Assets | 18,200 | $ 16,900 | 54,900 | $ 51,400 |
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months | 73,869 |  | 73,869 |  |
Finite-Lived Intangible Assets, Amortization Expense, Year Two | 66,711 |  | 66,711 |  |
Finite-Lived Intangible Assets, Amortization Expense, Year Three | 57,656 |  | 57,656 |  |
Finite-Lived Intangible Assets, Amortization Expense, Year Four | 48,507 |  | 48,507 |  |
Finite-Lived Intangible Assets, Amortization Expense, Year Five | 46,054 |  | 46,054 |  |
Finite-Lived Intangible Assets, Amortization Expense, after Year Five | 145,404 |  | 145,404 |  |
Finite-Lived Intangible Assets, Net | 438,201 |  | $ 438,201 |  |
Customer Lists |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Finite-Lived Intangible Asset, Useful Life |  |  | 7 years 10 months 24 days |  | 8 years 6 months
Finite-Lived Intangible Assets, Gross | 794,079 |  | $ 794,079 |  | $ 735,264
Finite-Lived Intangible Assets, Accumulated Amortization | (393,686) |  | $ (393,686) |  | $ (347,029)
Backlog |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Finite-Lived Intangible Asset, Useful Life |  |  | 2 months 12 days |  | 3 months 18 days
Finite-Lived Intangible Assets, Gross | 37,039 |  | $ 37,039 |  | $ 34,729
Finite-Lived Intangible Assets, Accumulated Amortization | (36,331) |  | $ (36,331) |  | $ (31,924)
Developed Technology Rights |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Finite-Lived Intangible Asset, Useful Life |  |  | 8 years 10 months 24 days |  | 10 years
Finite-Lived Intangible Assets, Gross | 65,534 |  | $ 65,534 |  | $ 56,931
Finite-Lived Intangible Assets, Accumulated Amortization | (28,434) |  | (28,434) |  | (24,394)
Tradenames And Trademarks |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Indefinite-lived Intangible Assets (Excluding Goodwill) | $ 1,136,400 |  | $ 1,136,400 |  | $ 1,026,804

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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=121586364&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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