Revenue from Contracts with Customers - Schedule of Disaggregated Revenue (Details) - USD ($) $ in Millions	3 Months Ended
	Mar. 30, 2024	Apr. 01, 2023
Disaggregation of Revenue [Line Items]
Net sales	$ 2,679.4	$ 2,806.2
Ceramic & Stone
Disaggregation of Revenue [Line Items]
Net sales	1,038.1	1,058.7
Carpet & Resilient
Disaggregation of Revenue [Line Items]
Net sales	926.8	981.7
Laminate & Wood
Disaggregation of Revenue [Line Items]
Net sales	426.6	447.0
Other
Disaggregation of Revenue [Line Items]
Net sales	287.9	318.8
United States
Disaggregation of Revenue [Line Items]
Net sales	1,431.7	1,523.6
Europe
Disaggregation of Revenue [Line Items]
Net sales	821.7	905.3
Latin America
Disaggregation of Revenue [Line Items]
Net sales	196.0	151.4
Other
Disaggregation of Revenue [Line Items]
Net sales	230.0	225.9
Operating segments | Global Ceramic
Disaggregation of Revenue [Line Items]
Net sales	1,044.8	1,059.3
Operating segments | Global Ceramic | Ceramic & Stone
Disaggregation of Revenue [Line Items]
Net sales	1,032.2	1,050.1
Operating segments | Global Ceramic | Carpet & Resilient
Disaggregation of Revenue [Line Items]
Net sales	12.6	9.2
Operating segments | Global Ceramic | Laminate & Wood
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Operating segments | Global Ceramic | Other
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Operating segments | Global Ceramic | United States
Disaggregation of Revenue [Line Items]
Net sales	560.4	596.6
Operating segments | Global Ceramic | Europe
Disaggregation of Revenue [Line Items]
Net sales	255.5	273.5
Operating segments | Global Ceramic | Latin America
Disaggregation of Revenue [Line Items]
Net sales	185.1	144.3
Operating segments | Global Ceramic | Other
Disaggregation of Revenue [Line Items]
Net sales	43.8	44.9
Operating segments | Flooring NA
Disaggregation of Revenue [Line Items]
Net sales	900.2	953.4
Operating segments | Flooring NA | Ceramic & Stone
Disaggregation of Revenue [Line Items]
Net sales	5.9	8.6
Operating segments | Flooring NA | Carpet & Resilient
Disaggregation of Revenue [Line Items]
Net sales	700.0	750.5
Operating segments | Flooring NA | Laminate & Wood
Disaggregation of Revenue [Line Items]
Net sales	194.3	194.3
Operating segments | Flooring NA | Other
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Operating segments | Flooring NA | United States
Disaggregation of Revenue [Line Items]
Net sales	869.7	925.8
Operating segments | Flooring NA | Europe
Disaggregation of Revenue [Line Items]
Net sales	0.6	0.2
Operating segments | Flooring NA | Latin America
Disaggregation of Revenue [Line Items]
Net sales	1.0	0.8
Operating segments | Flooring NA | Other
Disaggregation of Revenue [Line Items]
Net sales	28.9	26.6
Operating segments | Flooring ROW
Disaggregation of Revenue [Line Items]
Net sales	734.4	793.5
Operating segments | Flooring ROW | Ceramic & Stone
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
Operating segments | Flooring ROW | Carpet & Resilient
Disaggregation of Revenue [Line Items]
Net sales	214.2	222.0
Operating segments | Flooring ROW | Laminate & Wood
Disaggregation of Revenue [Line Items]
Net sales	232.3	252.7
Operating segments | Flooring ROW | Other
Disaggregation of Revenue [Line Items]
Net sales	287.9	318.8
Operating segments | Flooring ROW | United States
Disaggregation of Revenue [Line Items]
Net sales	1.6	1.2
Operating segments | Flooring ROW | Europe
Disaggregation of Revenue [Line Items]
Net sales	565.6	631.6
Operating segments | Flooring ROW | Latin America
Disaggregation of Revenue [Line Items]
Net sales	9.9	6.3
Operating segments | Flooring ROW | Other
Disaggregation of Revenue [Line Items]
Net sales	$ 157.3	$ 154.4