Revenue from Contracts with Customers - Schedule of Disaggregated Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 28, 2024	Sep. 30, 2023	Sep. 28, 2024	Sep. 30, 2023
Disaggregation of Revenue [Line Items]
Net sales	$ 2,719.0	$ 2,766.1	$ 8,199.7	$ 8,522.8
Ceramic & Stone
Disaggregation of Revenue [Line Items]
Net sales	1,047.0	1,090.1	3,190.8	3,304.0
Carpet & Resilient
Disaggregation of Revenue [Line Items]
Net sales	995.6	991.0	2,909.6	2,795.6
Laminate & Wood
Disaggregation of Revenue [Line Items]
Net sales	423.6	418.4	1,291.1	1,533.7
Other
Disaggregation of Revenue [Line Items]
Net sales	252.8	266.6	808.2	889.5
United States
Disaggregation of Revenue [Line Items]
Net sales	1,512.8	1,519.5	4,471.2	4,630.6
Europe
Disaggregation of Revenue [Line Items]
Net sales	774.1	793.0	2,440.9	2,606.9
Latin America
Disaggregation of Revenue [Line Items]
Net sales	186.4	212.6	575.0	571.1
Other
Disaggregation of Revenue [Line Items]
Net sales	245.7	241.0	712.6	714.2
Operating segments | Global Ceramic
Disaggregation of Revenue [Line Items]
Net sales	1,058.0	1,091.7	3,218.4	3,306.4
Operating segments | Global Ceramic | Ceramic & Stone
Disaggregation of Revenue [Line Items]
Net sales	1,043.0	1,081.3	3,174.8	3,276.7
Operating segments | Global Ceramic | Carpet & Resilient
Disaggregation of Revenue [Line Items]
Net sales	15.0	10.4	43.6	29.7
Operating segments | Global Ceramic | Laminate & Wood
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Operating segments | Global Ceramic | Other
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Operating segments | Global Ceramic | United States
Disaggregation of Revenue [Line Items]
Net sales	568.0	586.5	1,721.7	1,794.8
Operating segments | Global Ceramic | Europe
Disaggregation of Revenue [Line Items]
Net sales	268.9	258.9	816.3	829.6
Operating segments | Global Ceramic | Latin America
Disaggregation of Revenue [Line Items]
Net sales	175.1	201.6	542.6	544.0
Operating segments | Global Ceramic | Other
Disaggregation of Revenue [Line Items]
Net sales	46.0	44.7	137.8	138.0
Operating segments | Flooring NA
Disaggregation of Revenue [Line Items]
Net sales	974.0	962.2	2,832.7	2,917.3
Operating segments | Flooring NA | Ceramic & Stone
Disaggregation of Revenue [Line Items]
Net sales	4.0	8.8	16.0	27.3
Operating segments | Flooring NA | Carpet & Resilient
Disaggregation of Revenue [Line Items]
Net sales	763.9	757.4	2,211.4	2,299.2
Operating segments | Flooring NA | Laminate & Wood
Disaggregation of Revenue [Line Items]
Net sales	206.1	196.0	605.3	590.8
Operating segments | Flooring NA | Other
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Operating segments | Flooring NA | United States
Disaggregation of Revenue [Line Items]
Net sales	943.0	931.7	2,743.3	2,831.0
Operating segments | Flooring NA | Europe
Disaggregation of Revenue [Line Items]
Net sales	1.4	1.4	2.8	1.7
Operating segments | Flooring NA | Latin America
Disaggregation of Revenue [Line Items]
Net sales	1.4	1.3	3.4	2.9
Operating segments | Flooring NA | Other
Disaggregation of Revenue [Line Items]
Net sales	28.2	27.8	83.2	81.7
Operating segments | Flooring ROW
Disaggregation of Revenue [Line Items]
Net sales	687.0	712.2	2,148.6	2,299.1
Operating segments | Flooring ROW | Ceramic & Stone
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0	0.0	0.0
Operating segments | Flooring ROW | Carpet & Resilient
Disaggregation of Revenue [Line Items]
Net sales	216.7	223.2	654.6	466.7
Operating segments | Flooring ROW | Laminate & Wood
Disaggregation of Revenue [Line Items]
Net sales	217.5	222.4	685.8	942.9
Operating segments | Flooring ROW | Other
Disaggregation of Revenue [Line Items]
Net sales	252.8	266.6	808.2	889.5
Operating segments | Flooring ROW | United States
Disaggregation of Revenue [Line Items]
Net sales	1.8	1.3	6.2	4.8
Operating segments | Flooring ROW | Europe
Disaggregation of Revenue [Line Items]
Net sales	503.8	532.7	1,621.8	1,775.6
Operating segments | Flooring ROW | Latin America
Disaggregation of Revenue [Line Items]
Net sales	9.9	9.7	29.0	24.2
Operating segments | Flooring ROW | Other
Disaggregation of Revenue [Line Items]
Net sales	$ 171.5	$ 168.5	$ 491.6	$ 494.5