Items Reclassified from Accumulated Other Comprehensive Loss - Schedule of Items Reclassified from Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Reclassification Adjustment out of Accumulated Other Comprehensive Loss [Line Items]
Interest rate swap contracts loss	$ (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 rate swap contracts loss			$ (7,287)
Amortization of benefit plan net actuarial losses and prior service cost	$ (1,875)	$ (2,825)	(2,213)
Total loss reclassified from accumulated other comprehensive loss	(4,684)	(7,686)	(9,500)
Interest Rate Swap
Reclassification Adjustment out of Accumulated Other Comprehensive Loss [Line Items]
Other comprehensive income (loss), cash flow hedge, tax	$ 800	$ 1,400
Other comprehensive income (loss), cash flow hedge, tax			$ (2,500)