Business Segments - Information by Geographic Region (Details) $ in Thousands	3 Months Ended		6 Months Ended
	Jul. 02, 2023 USD ($)	Jul. 03, 2022 USD ($)	Jul. 02, 2023 USD ($) segment	Jul. 03, 2022 USD ($)	Jan. 01, 2023 USD ($)
Business segment information by geographical areas
Number of reportable segments | segment			1
Long-lived assets	$ 2,414,109	$ 2,439,064	$ 2,414,109	$ 2,439,064	$ 2,404,366
Revenues	443,707	435,422	585,897	573,529
(Loss) income before income taxes	58,127	92,433	(29,584)	7,658
Domestic
Business segment information by geographical areas
Long-lived assets	2,292,265	2,322,514	2,292,265	2,322,514	2,290,318
Revenues			529,735	531,041
(Loss) income before income taxes			(55,878)	(1,063)
Foreign
Business segment information by geographical areas
Long-lived assets	$ 121,844	$ 116,550	121,844	116,550	$ 114,048
Revenues			56,162	42,488
(Loss) income before income taxes			$ 26,294	$ 8,721