Income Taxes - Additional Information (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Income Tax Disclosure [Abstract]
Excess tax benefit related to share-based compensation	$ 1,808	$ 758	$ 3,754
Operating Loss Carryforwards [Line Items]
Deferred tax assets, valuation allowance	9,212	9,609
Increase (decrease) of deferred tax asset valuation allowance	397
Foreign tax credits	368
Undistributed earnings of foreign subsidiaries	245,079
Foreign earnings repatriated	116,853
Foreign currency transaction gain	517
Portion of foreign earnings repatriated for distribution of shares of foreign subsidiary	100,765
Provision for unremitted foreign earnings	570
Undistributed earnings of foreign subsidiaries excluding those repatriated back domestically	223,035
Estimated withholding liability related to undistributed earnings of foreign subsidiaries	4,116
Unrecognized tax benefits that would impact effective tax rate	9,731
Income tax penalties and accrued interest from unrecognized tax benefits	1,704	1,600
Income tax penalties and interest expense from unrecognized tax benefits	129	$ 145
Estimated amount of liability for unrecognized tax benefit to be reduced next year	1,367
Internal revenue service (IRS)
Operating Loss Carryforwards [Line Items]
Deferred tax assets, valuation allowance	190
Domestic tax authority
Operating Loss Carryforwards [Line Items]
Operating loss carryforwards	2,304
Interest carryforward	67
Foreign tax authority
Operating Loss Carryforwards [Line Items]
Deferred tax assets, valuation allowance	9,022
Operating loss carryforwards	56,537
Operating loss carryforwards, subject to expiration	1,499
State and local jurisdiction
Operating Loss Carryforwards [Line Items]
Operating loss carryforwards	30,830
Syntron Material Handling Group, LLC
Operating Loss Carryforwards [Line Items]
Foreign tax credits	$ 120