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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. 01, 2022 | Oct. 02, 2021 | Oct. 01, 2022 | Oct. 02, 2021 | Dec. 31, 2021
Finite-lived Intangible Assets [Roll Forward] |  |  |  |  |
Intangible assets subject to amortization, beginning balance |  |  | $ 943,299 |  |
Intangible assets acquired during the period |  |  | 14,964 |  |
Currency translation during the period |  |  | (101,068) |  |
Intangible assets subject to amortization, ending balance | $ 857,195 |  | 857,195 |  |
Accumulated amortization, beginning balance |  |  | 738,224 |  |
Amortization during the period | 6,918 | $ 7,247 | 20,917 | $ 22,081 |
Currency translation during the period |  |  | (78,385) |  |
Accumulated amortization, ending balance | 680,756 |  | 680,756 |  |
Intangible assets subject to amortization, net as of October 1, 2022 | 176,439 |  | 176,439 |  | $ 205,075
Customer relationships |  |  |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |  |  |
Intangible assets subject to amortization, beginning balance |  |  | 680,177 |  |
Intangible assets acquired during the period |  |  | 13,064 |  |
Currency translation during the period |  |  | (65,593) |  |
Intangible assets subject to amortization, ending balance | 627,648 |  | 627,648 |  |
Accumulated amortization, beginning balance |  |  | 483,748 |  |
Amortization during the period |  |  | 20,277 |  |
Currency translation during the period |  |  | (44,161) |  |
Accumulated amortization, ending balance | 459,864 |  | 459,864 |  |
Intangible assets subject to amortization, net as of October 1, 2022 | 167,784 |  | 167,784 |  |
Patents |  |  |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |  |  |
Intangible assets subject to amortization, beginning balance |  |  | 256,336 |  |
Intangible assets acquired during the period |  |  | 0 |  |
Currency translation during the period |  |  | (34,607) |  |
Intangible assets subject to amortization, ending balance | 221,729 |  | 221,729 |  |
Accumulated amortization, beginning balance |  |  | 252,414 |  |
Amortization during the period |  |  | 468 |  |
Currency translation during the period |  |  | (34,116) |  |
Accumulated amortization, ending balance | 218,766 |  | 218,766 |  |
Intangible assets subject to amortization, net as of October 1, 2022 | 2,963 |  | 2,963 |  |
Other |  |  |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |  |  |
Intangible assets subject to amortization, beginning balance |  |  | 6,786 |  |
Intangible assets acquired during the period |  |  | 1,900 |  |
Currency translation during the period |  |  | (868) |  |
Intangible assets subject to amortization, ending balance | 7,818 |  | 7,818 |  |
Accumulated amortization, beginning balance |  |  | 2,062 |  |
Amortization during the period |  |  | 172 |  |
Currency translation during the period |  |  | (108) |  |
Accumulated amortization, ending balance | 2,126 |  | 2,126 |  |
Intangible assets subject to amortization, net as of October 1, 2022 | $ 5,692 |  | $ 5,692 |  |

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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 https://asc.fasb.org/extlink&oid=126954810&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 https://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 https://asc.fasb.org/extlink&oid=6388964&loc=d3e16225-109274 + Details
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