Interest and Other Expense (Income), Net (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Gain on disposition of businesses and assets, net	$ 0	$ 0	$ 2,469
Change in fair value of financial securities	(10,985)	(35)	(3,249)
Interest expense including costs of bridge financing	102,128	49,712	63,627
Interest income	(2,241)	(1,010)	(1,495)
Interest expense including costs of bridge financing	102,128	49,712	63,627
Gain (Loss) on Extinguishment of Debt	0	0	32,541
Other components of net periodic pension (credit) cost	(39,767)	18,833	25,344
Other expense, net	3,357	4,717	5,594
Total interest and other expense, net	$ 52,492	$ 72,217	$ 124,831