Summary of Significant Accounting Policies - Summary of Components of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2026	Dec. 28, 2024	Dec. 30, 2023
Accumulated Other Comprehensive Income (Loss) [Line Items]
Unrecognized pension benefit costs, net of tax	$ 15,956,000	$ 13,866
Accumulated Other Comprehensive Income (Loss), Net of Tax	(141,864)	(269,390)	$ (223,198)
Other Comprehensive Income (Loss), before Reclassifications, Net of Tax	(143,945)	21,582
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax	(16,419)	(24,610)
Other Comprehensive Income (Loss), Net of Tax	127,526	(46,192)	55,274
Accumulated Foreign Currency Adjustment Attributable to Parent
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other Comprehensive Income (Loss), before Reclassifications, Net of Tax	(143,643)	67,765
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax	0	0
Other Comprehensive Income (Loss), Net of Tax	143,643	(67,765)
Other Comprehensive Income, Other, Net of Tax	(69,612)	(213,255)	(145,490)
Accumulated Defined Benefit Plans Adjustment Attributable to Parent
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other Comprehensive Income (Loss), before Reclassifications, Net of Tax	(2,125)	28,585
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax	296	2,594
Other Comprehensive Income (Loss), Net of Tax	(1,829)	31,179
Other Comprehensive Income, Other, Net of Tax	(80,363)	(78,534)	(109,713)
Accumulated Gain (Loss), Net, Cash Flow Hedge, Parent | Interest Rate Swap
Accumulated Other Comprehensive Income (Loss) [Line Items]
Other Comprehensive Income (Loss), before Reclassifications, Net of Tax	(2,427)	(17,598)
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax	(16,715)	(27,204)
Other Comprehensive Income (Loss), Net of Tax	(14,288)	(9,606)
Other Comprehensive Income, Other, Net of Tax	$ 8,111	$ 22,399	$ 32,005