Investments Equity Investment Summary (Details) - USD ($) $ in Thousands	3 Months Ended	12 Months Ended
	Jun. 28, 2015	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Schedule of Equity Method Investments
Equity in earnings for the period		$ 11,203	$ 6,096	$ 8,673
Financing Receivable, before Allowance for Credit Loss, Noncurrent		4,514	6,759
Financing Receivable, Allowance for Credit Loss, Current		(4,975)	(4,996)
TimWen and Brazil JV
Schedule of Equity Method Investments
Equity in earnings for the period		$ 14,329	8,389	10,943
TimWen
Schedule of Equity Method Investments
Equity Method Investment, Ownership Percentage		50.00%
Equity Method Investment, Difference Between Carrying Amount and Underlying Equity		$ 20,532	23,433
Brazil JV
Schedule of Equity Method Investments
Equity Method Investment, Ownership Percentage		20.00%
Payments to Acquire Interest in Joint Venture	$ 1
Payments to Acquire Interest in Joint Venture, Starbord	2
Payments to Acquire Interest in Joint Venture, Infinity	$ 2
Equity Method Investment, Initial Ownership Percentage	20.00%
Equity Method Investment Ownership Percentage, Starbord	40.00%
Equity Method Investment Ownership Percentage, Infinity	40.00%
Equity in earnings for the period		$ 0	(417)	$ (1,022)
Financing Receivable, before Allowance for Credit Loss, Current and Noncurrent		17,125	17,125
Financing Receivable, 90 Days or More Past Due, Still Accruing		12,775
Financing Receivable, before Allowance for Credit Loss, Noncurrent		4,350
Financing Receivable, Allowance for Credit Loss, Current		$ (4,640)	$ (4,640)
Brazil JV | Minimum
Schedule of Equity Method Investments
Interest Rate		3.25%
Brazil JV | Maximum
Schedule of Equity Method Investments
Interest Rate		6.50%