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Goodwill and Intangible Assets - Schedule of intangible assets subject to amortization (Details) - USD ($) $ in Thousands | 3 Months Ended |
--- | --- | ---
Apr. 02, 2022 | Apr. 03, 2021 | Dec. 31, 2021
Finite-lived Intangible Assets [Roll Forward] |  |  |
Intangible assets subject to amortization, beginning balance | $ 943,299 |  |
Adjustments related to acquisitions | (36) |  |
Currency translation during the period | (15,506) |  |
Intangible assets subject to amortization, ending balance | 927,757 |  |
Accumulated amortization, beginning balance | 738,224 |  |
Amortization during the period | 7,173 | $ 7,498 |
Currency translation during the period | (13,433) |  |
Accumulated amortization, ending balance | 731,964 |  |
Intangible assets subject to amortization, net as of April 2, 2022 | 195,793 |  | $ 205,075
Customer relationships |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |
Intangible assets subject to amortization, beginning balance | 680,177 |  |
Adjustments related to acquisitions | (36) |  |
Currency translation during the period | (8,985) |  |
Intangible assets subject to amortization, ending balance | 671,156 |  |
Accumulated amortization, beginning balance | 483,748 |  |
Amortization during the period | 6,961 |  |
Currency translation during the period | (7,135) |  |
Accumulated amortization, ending balance | 483,574 |  |
Intangible assets subject to amortization, net as of April 2, 2022 | 187,582 |  |
Patents |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |
Intangible assets subject to amortization, beginning balance | 256,336 |  |
Adjustments related to acquisitions | 0 |  |
Currency translation during the period | (6,378) |  |
Intangible assets subject to amortization, ending balance | 249,958 |  |
Accumulated amortization, beginning balance | 252,414 |  |
Amortization during the period | 165 |  |
Currency translation during the period | (6,282) |  |
Accumulated amortization, ending balance | 246,297 |  |
Intangible assets subject to amortization, net as of April 2, 2022 | 3,661 |  |
Other |  |  |
Finite-lived Intangible Assets [Roll Forward] |  |  |
Intangible assets subject to amortization, beginning balance | 6,786 |  |
Adjustments related to acquisitions | 0 |  |
Currency translation during the period | (143) |  |
Intangible assets subject to amortization, ending balance | 6,643 |  |
Accumulated amortization, beginning balance | 2,062 |  |
Amortization during the period | 47 |  |
Currency translation during the period | (16) |  |
Accumulated amortization, ending balance | 2,093 |  |
Intangible assets subject to amortization, net as of April 2, 2022 | $ 4,550 |  |

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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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