Income Taxes - Effective Income Tax Reconciliation and Provision for Income Taxes (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 30, 2023	Dec. 31, 2022	Jan. 01, 2022
Income Tax Disclosure [Abstract]
Tax expense at statutory rate of 21%	$ 69,006	$ 93,039	$ 71,615
Non-U.S. income tax rate differential	(25,623)	(41,731)	(31,414)
Non-U.S. losses and expenses with no tax benefit	11,261	10,660	7,820
Tax on unremitted earnings	6,394	10,870	7,585
Net impact associated with U.S. tax on Non-U.S. income, including and other GILTI	4,739	2,546	(238)
State and local taxes, net of federal tax benefit	1,503	215	(172)
Certain changes in unrecognized tax benefits and related accrued interest	(172)	1,839	4,263
One-time tax deductions for stock of subsidiaries	0	(11,495)	0
Other, net	2,005	3,795	(2,240)
Provision for income taxes	$ 69,113	$ 69,738	$ 57,219