Other Comprehensive Income (Loss) - Schedule of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 30, 2023	Dec. 31, 2022	Jan. 01, 2022
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax
Beginning balance	$ 2,211,378	$ 1,893,520	$ 1,608,773
Activity in the period	39,947	(22,301)	17,694
Ending balance	2,480,481	2,211,378	1,893,520
Accumulated other comprehensive income (loss)
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax
Beginning balance	(95,764)	(73,463)	(91,157)
Activity in the period	39,947	(22,301)	17,694
Ending balance	(55,817)	(95,764)	(73,463)
Pension and postretirement liability and reclassification adjustments
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax
Beginning balance	(2,193)	(11,928)	(34,141)
Activity in the period	(5,420)	9,735	22,213
Ending balance	(7,613)	(2,193)	(11,928)
Cash flow hedge
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax
Beginning balance	6,596	0	0
Activity in the period	(2,148)	6,596	0
Ending balance	4,448	6,596	0
Foreign currency translation adjustments
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax
Beginning balance	(100,167)	(61,535)	(57,016)
Activity in the period	47,515	(38,632)	(4,519)
Ending balance	$ (52,652)	$ (100,167)	$ (61,535)