Summary of Significant Accounting Policies - Accumulated Other Comprehensive Income (Loss), Tax (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2026	Dec. 28, 2024	Dec. 30, 2023
Accounting Policies [Abstract]
Unrecognized pension benefit costs, Tax	$ (16,000)
Unrealized loss on interest rate swap, tax	3,500
Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss), Reclassification Adjustment from AOCI, Tax	2,100
Goodwill	1,799,649	$ 1,744,246	$ 1,704,273
Unrecognized pension benefit costs, net of tax	15,956,000	13,866
Accumulated Other Comprehensive Income (Loss), Cumulative Changes in Net Gain (Loss) from Cash Flow Hedges, Effect Net of Tax	3,543,000	7,978
Other Comprehensive Income (Loss), Cash Flow Hedge, Gain (Loss), Tax	(4,435)	(3,221)	(5,637)
Accumulated other comprehensive loss	$ (141,864)	$ (269,390)	$ (223,198)