Goodwill and Other Intangible Assets - Amortization Expense For Intangible Assets (Details) - USD ($) $ in Thousands	12 Months Ended
Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Goodwill and Other Intangible Assets
Amortization expense of intangible asset	$ 44,505	$ 42,569	$ 37,734
Research and development
Goodwill and Other Intangible Assets
Amortization expense of intangible asset	32,319	31,351	27,858
Selling, general and administrative
Goodwill and Other Intangible Assets
Amortization expense of intangible asset	$ 12,186	$ 11,218	$ 9,876

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.

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

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