Revenue from Contracts with Customers - Schedule of Disaggregated Revenue (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jun. 29, 2024	Jul. 01, 2023	Jun. 29, 2024	Jul. 01, 2023
Disaggregation of Revenue [Line Items]
Net sales	$ 2,801.3	$ 2,950.5	$ 5,480.7	$ 5,756.7
Ceramic & Stone
Disaggregation of Revenue [Line Items]
Net sales	1,105.8	1,155.2	2,143.9	2,213.9
Carpet & Resilient
Disaggregation of Revenue [Line Items]
Net sales	987.0	1,036.8	1,913.9	1,878.1
Laminate & Wood
Disaggregation of Revenue [Line Items]
Net sales	441.0	454.3	867.4	1,041.7
Other
Disaggregation of Revenue [Line Items]
Net sales	267.5	304.2	555.5	623.0
United States
Disaggregation of Revenue [Line Items]
Net sales	1,526.8	1,587.4	2,958.6	3,111.0
Europe
Disaggregation of Revenue [Line Items]
Net sales	845.0	908.7	1,666.7	1,814.0
Latin America
Disaggregation of Revenue [Line Items]
Net sales	192.7	206.9	388.7	358.5
Other
Disaggregation of Revenue [Line Items]
Net sales	236.8	247.5	466.7	473.2
Operating segments | Global Ceramic
Disaggregation of Revenue [Line Items]
Net sales	1,115.6	1,155.4	2,160.4	2,214.7
Operating segments | Global Ceramic | Ceramic & Stone
Disaggregation of Revenue [Line Items]
Net sales	1,099.7	1,145.3	2,131.9	2,195.4
Operating segments | Global Ceramic | Carpet & Resilient
Disaggregation of Revenue [Line Items]
Net sales	15.9	10.1	28.5	19.3
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	593.4	611.6	1,153.7	1,208.2
Operating segments | Global Ceramic | Europe
Disaggregation of Revenue [Line Items]
Net sales	291.9	297.3	547.4	570.8
Operating segments | Global Ceramic | Latin America
Disaggregation of Revenue [Line Items]
Net sales	182.5	198.0	367.6	342.3
Operating segments | Global Ceramic | Other
Disaggregation of Revenue [Line Items]
Net sales	47.8	48.5	91.7	93.4
Operating segments | Flooring NA
Disaggregation of Revenue [Line Items]
Net sales	958.5	1,001.7	1,858.7	1,955.1
Operating segments | Flooring NA | Ceramic & Stone
Disaggregation of Revenue [Line Items]
Net sales	6.1	9.9	12.0	18.5
Operating segments | Flooring NA | Carpet & Resilient
Disaggregation of Revenue [Line Items]
Net sales	747.4	791.3	1,447.5	1,541.8
Operating segments | Flooring NA | Laminate & Wood
Disaggregation of Revenue [Line Items]
Net sales	205.0	200.5	399.2	394.8
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	930.6	973.5	1,800.4	1,899.3
Operating segments | Flooring NA | Europe
Disaggregation of Revenue [Line Items]
Net sales	0.7	0.1	1.3	0.3
Operating segments | Flooring NA | Latin America
Disaggregation of Revenue [Line Items]
Net sales	1.0	0.7	2.0	1.6
Operating segments | Flooring NA | Other
Disaggregation of Revenue [Line Items]
Net sales	26.2	27.4	55.0	53.9
Operating segments | Flooring ROW
Disaggregation of Revenue [Line Items]
Net sales	727.2	793.4	1,461.6	1,586.9
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	223.7	235.4	437.9	317.0
Operating segments | Flooring ROW | Laminate & Wood
Disaggregation of Revenue [Line Items]
Net sales	236.0	253.8	468.2	646.9
Operating segments | Flooring ROW | Other
Disaggregation of Revenue [Line Items]
Net sales	267.5	304.2	555.5	623.0
Operating segments | Flooring ROW | United States
Disaggregation of Revenue [Line Items]
Net sales	2.8	2.3	4.5	3.5
Operating segments | Flooring ROW | Europe
Disaggregation of Revenue [Line Items]
Net sales	552.4	611.3	1,118.0	1,242.9
Operating segments | Flooring ROW | Latin America
Disaggregation of Revenue [Line Items]
Net sales	9.2	8.2	19.1	14.6
Operating segments | Flooring ROW | Other
Disaggregation of Revenue [Line Items]
Net sales	$ 162.8	$ 171.6	$ 320.0	$ 325.9