Items Reclassified from Accumulated Other Comprehensive Loss - Schedule of Items Reclassified from Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Equity [Abstract]
Loss on foreign subsidiary liquidation	$ (6,221)	$ 0	$ 0
Interest rate swap contracts loss	$ (982)	$ (2,809)	$ (4,861)
Discontinued cash flow hedge, reclassification out of accumulated other comprehensive loss, consolidated statement of operations location	Interest expense	Interest expense	Interest expense
Amortization of benefit plan net actuarial losses and prior service cost	$ (800)	$ (1,875)	$ (2,825)
Total loss reclassified from accumulated other comprehensive loss	(8,003)	(4,684)	(7,686)
Loss on foreign subsidiary liquidation, tax	(1,100)
Interest rate swap contracts loss, tax	$ (200)	$ (800)	$ (1,400)