Income Taxes - Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Income Tax Disclosure [Abstract]
Income taxes at U.S. federal statutory rate	$ 15,253	$ (16,678)	$ 21,381
State income taxes, net of federal tax effect	(87)	(2,033)	2,321
Non-deductible business expenses	330	1,792	933
Non-deductible employee compensation	1,213	(210)	1,453
Tax effects of Company-owned life insurance	(762)	(898)	(636)
Tax effects of undistributed earnings from foreign subsidiaries not deemed to be indefinitely reinvested	1,219	748	(183)
Foreign and U.S. tax effects attributable to foreign operations	1,748	(11,991)	783
Valuation allowance effect	1,349	12,927	133
Research and development tax credits	(793)	(780)	(700)
Goodwill impairment	0	24,464	0
Unrecognized tax benefits	(2,663)	(14,962)	(3,324)
Other	592	130	455
Total income tax expense (benefit)	$ 17,399	$ (7,491)	$ 22,616