Items Reclassified from Accumulated Other Comprehensive Loss - Schedule of Items Reclassified from Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Reclassification Adjustment out of Accumulated Other Comprehensive Loss [Line Items]
Total loss reclassified from accumulated other comprehensive loss	$ (7,686)	$ (9,500)	$ (1,275)
Interest Rate Swap
Reclassification Adjustment out of Accumulated Other Comprehensive Loss [Line Items]
Other comprehensive income (loss), cash flow hedge, tax	1,400
Other comprehensive income (loss), cash flow hedge, tax		(2,500)	(1,600)
Cost of Sales | Foreign Currency Forward Contract
Reclassification Adjustment out of Accumulated Other Comprehensive Loss [Line Items]
Gain (loss) reclassified from accumulated other comprehensive loss: cash flow hedge	0	0	(450)
Interest Expense | Interest Rate Swap
Reclassification Adjustment out of Accumulated Other Comprehensive Loss [Line Items]
Gain (loss) reclassified from accumulated other comprehensive loss: cash flow hedge		(7,287)	151
Gain (loss) reclassified from accumulated other comprehensive loss: discontinued cash flow hedge	(4,861)
Other Expense
Reclassification Adjustment out of Accumulated Other Comprehensive Loss [Line Items]
Amortization of benefit plan prior service cost and net actuarial losses	$ (2,825)	$ (2,213)	$ (976)