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Goodwill and Intangible Assets - Schedule of intangible assets subject to amortization (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
Oct. 02, 2021 | Sep. 26, 2020 | Oct. 02, 2021 | Sep. 26, 2020 | Dec. 31, 2020
Finite-lived Intangible Assets [Roll Forward] |  |  |  |  |
Intangible assets subject to amortization, beginning balance |  |  | $ 980,310 |  |
Intangible assets acquired during the period |  |  | 16,197 |  |
Currency translation during the period |  |  | (43,542) |  |
Intangible assets subject to amortization, ending balance | $ 952,965 |  | 952,965 |  |
Accumulated amortization, beginning balance |  |  | 755,971 |  |
Amortization during the period | 7,247 | $ 7,327 | 22,081 | $ 21,183 |
Currency translation during the period |  |  | (34,166) |  |
Accumulated amortization, ending balance | 743,886 |  | 743,886 |  |
Intangible assets subject to amortization, net as of October 2, 2021 | 209,079 |  | 209,079 |  | $ 224,339
Customer relationships |  |  |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |  |  |
Intangible assets subject to amortization, beginning balance |  |  | 699,795 |  |
Intangible assets acquired during the period |  |  | 11,569 |  |
Currency translation during the period |  |  | (27,584) |  |
Intangible assets subject to amortization, ending balance | 683,780 |  | 683,780 |  |
Accumulated amortization, beginning balance |  |  | 481,256 |  |
Amortization during the period |  |  | 20,870 |  |
Currency translation during the period |  |  | (18,403) |  |
Accumulated amortization, ending balance | 483,723 |  | 483,723 |  |
Intangible assets subject to amortization, net as of October 2, 2021 | 200,057 |  | 200,057 |  |
Patents |  |  |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |  |  |
Intangible assets subject to amortization, beginning balance |  |  | 273,570 |  |
Intangible assets acquired during the period |  |  | 4,628 |  |
Currency translation during the period |  |  | (15,846) |  |
Intangible assets subject to amortization, ending balance | 262,352 |  | 262,352 |  |
Accumulated amortization, beginning balance |  |  | 273,426 |  |
Amortization during the period |  |  | 475 |  |
Currency translation during the period |  |  | (15,729) |  |
Accumulated amortization, ending balance | 258,172 |  | 258,172 |  |
Intangible assets subject to amortization, net as of October 2, 2021 | 4,180 |  | 4,180 |  |
Other |  |  |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |  |  |
Intangible assets subject to amortization, beginning balance |  |  | 6,945 |  |
Intangible assets acquired during the period |  |  | 0 |  |
Currency translation during the period |  |  | (112) |  |
Intangible assets subject to amortization, ending balance | 6,833 |  | 6,833 |  |
Accumulated amortization, beginning balance |  |  | 1,289 |  |
Amortization during the period |  |  | 736 |  |
Currency translation during the period |  |  | (34) |  |
Accumulated amortization, ending balance | 1,991 |  | 1,991 |  |
Intangible assets subject to amortization, net as of October 2, 2021 | $ 4,842 |  | $ 4,842 |  |

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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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