Summary of Significant Accounting Policies - Narrative (Details) - USD ($)	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Summary of Significant Accounting Policies [Line Items]
Number of operating segments	2
Number of reportable segments	2
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	$ 19,300,000	$ 18,600,000	$ 17,800,000
Cash equivalents	0	0
Short-term investments	0	0
Interest paid	22,900,000	32,000,000	22,700,000
Cash paid for termination of derivative		12,500,000
Income taxes paid	23,100,000	19,300,000	34,800,000
Proceeds from income tax refunds	5,400,000	7,500,000	1,900,000
Interest costs capitalized	500,000	1,900,000	2,100,000
Depreciation expense	$ 41,900,000	42,400,000	41,500,000
Workmanship warranty period	1 year
Warranty and sales allowance reserves	$ 2,700,000	3,200,000
Foreign exchange translation gains (losses)	$ (40,110,000)	$ 52,808,000	$ (11,652,000)
Share-based compensation, options granted (in shares)	0	0	0
Developed Technology Rights
Summary of Significant Accounting Policies [Line Items]
Estimated useful life	7 years
Building and Improvements | Minimum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life	10 years
Building and Improvements | Maximum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life	40 years
Furniture and Equipment | Minimum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life	3 years
Furniture and Equipment | Maximum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life	12 years
Carpet, Modular Resilient Flooring, and Related Products
Summary of Significant Accounting Policies [Line Items]
Percent of revenue due to contracts with customers (percentage)	98.00%	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)	2.00%	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
Luxury Vinyl Tile Products | Minimum
Summary of Significant Accounting Policies [Line Items]
Product warranty period	5 years
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