Restructuring, Acquisition and Integration-Related Costs - Schedule of Restructuring Activity (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 28, 2024	Sep. 30, 2023	Sep. 28, 2024	Sep. 30, 2023
Restructuring Reserve [Roll Forward]
Beginning balance	$ 16.3		$ 12.1
Restructuring costs	19.4		67.4
Cash payments	(12.3)		(23.7)
Non-cash items	(10.8)		(43.2)
Ending balance	12.6		12.6
Cost of sales
Restructuring Reserve [Roll Forward]
Restructuring costs	16.4	$ 42.6	57.0	$ 101.2
Selling, general and administrative expenses
Restructuring Reserve [Roll Forward]
Restructuring costs	3.0	$ 1.1	10.4	$ 6.9
Lease impairments
Restructuring Reserve [Roll Forward]
Beginning balance	0.0		0.0
Restructuring costs	0.8		0.8
Cash payments	0.0		0.0
Non-cash items	(0.8)		(0.8)
Ending balance	0.0		0.0
Lease impairments | Cost of sales
Restructuring Reserve [Roll Forward]
Restructuring costs	0.0		0.0
Lease impairments | Selling, general and administrative expenses
Restructuring Reserve [Roll Forward]
Restructuring costs	0.8		0.8
Asset Write- Downs and (Gains) on Disposals, net
Restructuring Reserve [Roll Forward]
Beginning balance	0.0		0.0
Restructuring costs	9.5		41.4
Cash payments	0.5		0.5
Non-cash items	(10.0)		(41.9)
Ending balance	0.0		0.0
Asset Write- Downs and (Gains) on Disposals, net | Cost of sales
Restructuring Reserve [Roll Forward]
Restructuring costs	9.2		41.1
Asset Write- Downs and (Gains) on Disposals, net | Selling, general and administrative expenses
Restructuring Reserve [Roll Forward]
Restructuring costs	0.3		0.3
Severance
Restructuring Reserve [Roll Forward]
Beginning balance	16.3		12.1
Restructuring costs	2.1		15.0
Cash payments	(6.3)		(14.6)
Non-cash items	0.5		0.1
Ending balance	12.6		12.6
Severance | Cost of sales
Restructuring Reserve [Roll Forward]
Restructuring costs	1.1		7.8
Severance | Selling, general and administrative expenses
Restructuring Reserve [Roll Forward]
Restructuring costs	1.0		7.2
Other Restructuring Costs
Restructuring Reserve [Roll Forward]
Beginning balance	0.0		0.0
Restructuring costs	7.0		10.2
Cash payments	(6.5)		(9.6)
Non-cash items	(0.5)		(0.6)
Ending balance	0.0		0.0
Other Restructuring Costs | Cost of sales
Restructuring Reserve [Roll Forward]
Restructuring costs	6.1		8.1
Other Restructuring Costs | Selling, general and administrative expenses
Restructuring Reserve [Roll Forward]
Restructuring costs	0.9		2.1
Operating segments | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	7.3		22.0
Operating segments | Flooring NA
Restructuring Reserve [Roll Forward]
Restructuring costs	8.1		12.7
Operating segments | Flooring ROW
Restructuring Reserve [Roll Forward]
Restructuring costs	4.1		32.5
Operating segments | Lease impairments | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	0.8		0.8
Operating segments | Lease impairments | Flooring NA
Restructuring Reserve [Roll Forward]
Restructuring costs	0.0		0.0
Operating segments | Lease impairments | Flooring ROW
Restructuring Reserve [Roll Forward]
Restructuring costs	0.0		0.0
Operating segments | Asset Write- Downs and (Gains) on Disposals, net | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	3.3		12.5
Operating segments | Asset Write- Downs and (Gains) on Disposals, net | Flooring NA
Restructuring Reserve [Roll Forward]
Restructuring costs	2.9		4.6
Operating segments | Asset Write- Downs and (Gains) on Disposals, net | Flooring ROW
Restructuring Reserve [Roll Forward]
Restructuring costs	3.3		24.3
Operating segments | Severance | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	1.0		6.5
Operating segments | Severance | Flooring NA
Restructuring Reserve [Roll Forward]
Restructuring costs	0.5		0.6
Operating segments | Severance | Flooring ROW
Restructuring Reserve [Roll Forward]
Restructuring costs	0.7		7.7
Operating segments | Other Restructuring Costs | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	2.2		2.2
Operating segments | Other Restructuring Costs | Flooring NA
Restructuring Reserve [Roll Forward]
Restructuring costs	4.7		7.5
Operating segments | Other Restructuring Costs | Flooring ROW
Restructuring Reserve [Roll Forward]
Restructuring costs	0.1		0.5
Corporate
Restructuring Reserve [Roll Forward]
Restructuring costs	(0.1)		0.2
Corporate | Lease impairments
Restructuring Reserve [Roll Forward]
Restructuring costs	0.0		0.0
Corporate | Asset Write- Downs and (Gains) on Disposals, net
Restructuring Reserve [Roll Forward]
Restructuring costs	0.0		0.0
Corporate | Severance
Restructuring Reserve [Roll Forward]
Restructuring costs	(0.1)		0.2
Corporate | Other Restructuring Costs
Restructuring Reserve [Roll Forward]
Restructuring costs	$ 0.0		$ 0.0