Summary of Significant Accounting Policies - Narrative (Details)	12 Months Ended
	Jan. 01, 2023 USD ($) shares	Jan. 02, 2022 USD ($) shares	Jan. 03, 2021 USD ($) shares
Summary of Significant Accounting Policies [Line Items]
Number of operating segments	2
Number of reportable segments	2
Net sales increase (decrease)	8.10%
Reduction of payroll costs under NOW Program			$ 7,300,000
Payment terms for revenue from contract with customer	60 days
Percent of warranty claims to revenue, less than (percentage)	0.50%	0.50%	0.50%
Percentage of installation projects completed in less than five days (percentage)	85.00%
Research and development expense	$ 19,100,000	$ 19,300,000	$ 18,600,000
Cash equivalents	0	0
Short-term investments	0	0
Interest paid	25,100,000	22,900,000	32,000,000
Cash paid for termination of derivative			12,500,000
Income taxes paid	31,400,000	23,100,000	19,300,000
Proceeds from income tax refunds	12,400,000	5,400,000	7,500,000
Interest costs capitalized	100,000	500,000	1,900,000
Depreciation expense	$ 36,300,000	41,900,000	42,400,000
Workmanship warranty period	1 year
Warranty and sales allowance reserves	$ 2,100,000	2,700,000
Foreign exchange translation gains (losses)	$ (38,334,000)	$ (40,110,000)	$ 52,808,000
Share-based compensation, options granted (in shares) | shares	0	0	0
China
Summary of Significant Accounting Policies [Line Items]
Net sales increase (decrease)	(13.00%)
Technology
Summary of Significant Accounting Policies [Line Items]
Estimated useful life	7 years
Buildings and Improvements | Minimum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life	10 years
Buildings and Improvements | Maximum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life	40 years
Equipment and Furniture | Minimum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life	3 years
Equipment and Furniture | Maximum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life	12 years
Modular Carpet, Resilient Flooring, Rubber Flooring, and Other Flooring-Related Material
Summary of Significant Accounting Policies [Line Items]
Percent of revenue due to contracts with customers (percentage)	97.00%	98.00%	98.00%
Installation of Carpet and Other Flooring-Related Material
Summary of Significant Accounting Policies [Line Items]
Percent of revenue due to contracts with customers (percentage)	3.00%	2.00%	2.00%
Carpet Products | Minimum
Summary of Significant Accounting Policies [Line Items]
Product warranty period	10 years
Carpet Products | Maximum
Summary of Significant Accounting Policies [Line Items]
Product warranty period	20 years
Rubber and Luxury Vinyl Tile Products | Minimum
Summary of Significant Accounting Policies [Line Items]
Product warranty period	5 years
Rubber and Luxury Vinyl Tile Products | Maximum
Summary of Significant Accounting Policies [Line Items]
Product warranty period	15 years
Cost of Sales
Summary of Significant Accounting Policies [Line Items]
Reduction of payroll costs under NOW Program			$ 1,200,000
Selling, General and Administrative Expenses
Summary of Significant Accounting Policies [Line Items]
Reduction of payroll costs under NOW Program			$ 6,100,000