Income Taxes - Effective Income Tax Reconciliation and Provision for Income Taxes (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Dec. 26, 2020
Income Tax Disclosure [Abstract]
Tax expense at statutory rate of 21%	$ 93,039	$ 71,615	$ 33,863
Non-U.S. income tax rate differential	(41,731)	(31,414)	(19,730)
One-time tax deductions for stock of subsidiaries	(11,495)	0	0
Tax on unremitted earnings	10,870	7,585	3,955
Non-U.S. losses and expenses with no tax benefit	10,660	7,820	2,774
Net impact associated with the GILTI tax provisions	2,546	(238)	3,731
Certain changes in unrecognized tax benefits and related accrued interest	1,839	4,263	2,160
State and local taxes, net of federal tax benefit	215	(172)	(584)
Tax impact of non-deductible goodwill impairment charge	0	0	5,642
Other, net	3,795	(2,240)	(544)
Provision for income taxes	$ 69,738	$ 57,219	$ 31,267