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Discontinued Operations (Details) - USD ($) $ / shares in Units, $ in Thousands		3 Months Ended		9 Months Ended
	Jul. 26, 2021	Oct. 02, 2021	Oct. 03, 2020	Oct. 02, 2021	Oct. 03, 2020	Apr. 22, 2021	Jan. 02, 2021
Infrastructure and automotive business
Income from discontinued operations, net of income taxes
Gain on sale of discontinued operations				$ 346,900
Provision for income taxes		$ (13,700)
Discontinued Operations \| Transition Services Agreement
Continuing Involvement
Fees for the agreement				2,100
Discontinued Operations \| Infrastructure and automotive business
Income from discontinued operations, net of income taxes
Revenues		28,203	$ 88,619	233,915	$ 278,661
Costs of revenues and operating expenses		11,395	55,397	142,312	169,345
Income from discontinued operations		16,808	33,222	91,603	109,316
Gain on sale of discontinued operations		2,423,161		2,423,161
Income from discontinued operations before income taxes		2,439,969	33,222	2,514,764	109,316
Provision for income taxes		333,173	3,358	330,880	11,595
Income from discontinued operations		$ 2,106,796	$ 29,864	$ 2,183,884	$ 97,721
Income from discontinued operations per share:
Basic		$ 48.56	$ 0.68	$ 49.52	$ 2.23
Diluted		$ 47.20	$ 0.67	$ 48.11	$ 2.21
Assets
Inventories							$ 18,801
Prepaid expenses and other current assets							2,204
Goodwill							255,543
Other assets							9,773
Total assets							286,321
Liabilities
Other current liabilities							433
Other non-current liabilities							451
Total liabilities							$ 884
Discontinued Operations \| Infrastructure and automotive business \| Transition Services Agreement \| Minimum
Continuing Involvement
Term of continuing involvement	3 months
Discontinued Operations \| Infrastructure and automotive business \| Transition Services Agreement \| Maximum
Continuing Involvement
Term of continuing involvement	18 months
Discontinued Operations \| Infrastructure and automotive business \| Skyworks Solutions, Inc.
Discontinued Operations
Asset Purchase Agreement sale amount						$ 2,750,000