Discontinued Operations (Details) - USD ($) $ / shares in Units, $ in Thousands		12 Months Ended
	Jul. 26, 2021	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019	Apr. 22, 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		7,200
Discontinued Operations | Transition Services Agreement
Continuing Involvement
TSA fees		4,200
Discontinued Operations | Infrastructure and automotive business
Income from discontinued operations, net of income taxes
Revenues		233,918	$ 375,749	$ 363,770
Costs of revenues		95,457	143,068	133,700
Operating expenses		46,643	87,293	84,730
Operating income from discontinued operations		91,818	145,388	145,340
Gain on sale of discontinued operations		2,423,161
Income from discontinued operations before income taxes		2,514,979	145,388	145,340
Provision for income taxes		339,706	17,372	23,400
Income from discontinued operations		$ 2,175,273	$ 128,016	$ 121,940
Income from discontinued operations per share:
Basic		$ 50.79	$ 2.92	$ 2.81
Diluted		$ 49.09	$ 2.89	$ 2.75
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 | Minimum
Continuing Involvement
Term of continuing involvement	3 months
Discontinued Operations | Infrastructure and automotive business | 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