Summary of Significant Accounting Policies - Narrative (Details)	12 Months Ended
	Dec. 31, 2023 USD ($)	Jan. 01, 2023 USD ($)	Jan. 02, 2022 USD ($)
Summary of Significant Accounting Policies [Line Items]
Number of operating segments	2
Number of reportable segments	2
Payment terms for revenue from contract with customer (in days)	60 days
Warranty claims as a percent of revenue, maximum (percentage)	0.50%	0.50%	0.50%
Installation projects completed in less than five days as a percent of total (percentage)	85.00%
Advertising expense	$ 34,600,000	$ 31,300,000	$ 28,400,000
Research and development expense	17,000,000	19,100,000	19,300,000
Cash equivalents	0	0
Short-term investments	0	0
Interest paid	28,800,000	25,100,000	22,900,000
Income taxes paid	25,800,000	31,400,000	23,100,000
Proceeds from income tax refunds	2,500,000	12,400,000	5,400,000
Depreciation expense	$ 35,900,000	36,300,000	41,900,000
Workmanship warranty period (in years)	1 year
Warranty and sales allowance reserves	$ 4,300,000	2,100,000
Foreign exchange translation gains (losses)	$ 19,185,000	$ (38,334,000)	$ (40,110,000)
Technology
Summary of Significant Accounting Policies [Line Items]
Estimated useful life (in years)	7 years
Buildings and Improvements | Minimum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life (in years)	10 years
Buildings and Improvements | Maximum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life (in years)	40 years
Equipment, Furniture and Fixtures | Minimum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life (in years)	3 years
Equipment, Furniture and Fixtures | Maximum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life (in years)	12 years
Computer Software | Minimum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life (in years)	3 years
Computer Software | Maximum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life (in years)	6 years
Weinheim Manufacturing Equipment | Maximum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life (in years)	25 years
Leasehold Improvements | Minimum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life (in years)	3 years
Leasehold Improvements | Maximum
Summary of Significant Accounting Policies [Line Items]
Estimated useful life (in years)	12 years
Revenue from the sale of flooring material
Summary of Significant Accounting Policies [Line Items]
Percent of revenue due to contracts with customers (percentage)	98.00%	97.00%	98.00%
Revenue from installation of flooring material
Summary of Significant Accounting Policies [Line Items]
Percent of revenue due to contracts with customers (percentage)	2.00%	3.00%	2.00%
Carpet Products | Minimum
Summary of Significant Accounting Policies [Line Items]
Product warranty period (in years)	10 years
Carpet Products | Maximum
Summary of Significant Accounting Policies [Line Items]
Product warranty period (in years)	20 years
Rubber and Luxury Vinyl Tile Products | Minimum
Summary of Significant Accounting Policies [Line Items]
Product warranty period (in years)	5 years
Rubber and Luxury Vinyl Tile Products | Maximum
Summary of Significant Accounting Policies [Line Items]
Product warranty period (in years)	15 years