Investments Equity Method Investments (Details) - USD ($) $ in Thousands	3 Months Ended	12 Months Ended
	Jun. 28, 2015	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Schedule of Equity Method Investments
Equity in earnings for the period		$ 9,422	$ 11,203	$ 6,096
Financing Receivable, before Allowance for Credit Loss, Noncurrent		3,888	4,514
Financing Receivable, Allowance for Credit Loss, Current		$ (4,640)	(4,975)
TimWen
Schedule of Equity Method Investments
Equity Method Investment, Ownership Percentage		50.00%
Equity Method Investment, Difference Between Carrying Amount and Underlying Equity		$ 16,423	20,532
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	0	$ (417)
Financing Receivable, before Allowance for Credit Loss, Current and Noncurrent		16,975	17,125
Financing Receivable, 90 Days or More Past Due, Still Accruing		12,775
Financing Receivable, before Allowance for Credit Loss, Noncurrent		4,200
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%