Restructuring, Acquisition and Integration-Related Costs - Schedule of Restructuring Activity (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jun. 28, 2025	Jun. 29, 2024	Jun. 28, 2025	Jun. 29, 2024
Restructuring Reserve [Roll Forward]
Beginning balance	$ 9.7		$ 13.0
Restructuring costs	29.4		54.7
Cash proceeds (payments)	(4.3)		(12.8)
Non-cash (expense) income	(20.4)		(40.5)
Ending balance	14.4		14.4
Cost of sales
Restructuring Reserve [Roll Forward]
Restructuring costs	$ 26.2	$ 35.2	$ 51.5	$ 40.6
Restructuring Charges, Statement of Income or Comprehensive Income [Extensible Enumeration]	Cost of sales	Cost of sales	Cost of sales	Cost of sales
Selling, general and administrative expenses
Restructuring Reserve [Roll Forward]
Restructuring costs	$ 3.2	$ 6.0	$ 3.2	$ 7.3
Restructuring Charges, Statement of Income or Comprehensive Income [Extensible Enumeration]	Selling, General and Administrative Expense	Selling, General and Administrative Expense	Selling, General and Administrative Expense	Selling, General and Administrative Expense
Lease impairments
Restructuring Reserve [Roll Forward]
Beginning balance	$ 0.0		$ 0.0
Restructuring costs	0.1		0.1
Cash proceeds (payments)	0.0		0.0
Non-cash (expense) income	(0.1)		(0.1)
Ending balance	0.0		0.0
Lease impairments | Cost of sales
Restructuring Reserve [Roll Forward]
Restructuring costs	0.1		0.1
Lease impairments | Selling, general and administrative expenses
Restructuring Reserve [Roll Forward]
Restructuring costs	0.0		0.0
Asset Write- Downs and (Gains) on Disposals, net
Restructuring Reserve [Roll Forward]
Beginning balance	0.0		0.0
Restructuring costs	12.5		29.1
Cash proceeds (payments)	8.0		11.1
Non-cash (expense) income	(20.5)		(40.2)
Ending balance	0.0		0.0
Asset Write- Downs and (Gains) on Disposals, net | Cost of sales
Restructuring Reserve [Roll Forward]
Restructuring costs	12.5		29.1
Asset Write- Downs and (Gains) on Disposals, net | Selling, general and administrative expenses
Restructuring Reserve [Roll Forward]
Restructuring costs	0.0		0.0
Severance
Restructuring Reserve [Roll Forward]
Beginning balance	9.7		13.0
Restructuring costs	8.0		8.0
Cash proceeds (payments)	(4.0)		(7.6)
Non-cash (expense) income	0.7		1.0
Ending balance	14.4		14.4
Severance | Cost of sales
Restructuring Reserve [Roll Forward]
Restructuring costs	4.8		5.6
Severance | Selling, general and administrative expenses
Restructuring Reserve [Roll Forward]
Restructuring costs	3.2		2.4
Other Restructuring Costs
Restructuring Reserve [Roll Forward]
Beginning balance	0.0		0.0
Restructuring costs	8.8		17.5
Cash proceeds (payments)	(8.3)		(16.3)
Non-cash (expense) income	(0.5)		(1.2)
Ending balance	0.0		0.0
Other Restructuring Costs | Cost of sales
Restructuring Reserve [Roll Forward]
Restructuring costs	8.8		16.7
Other Restructuring Costs | Selling, general and administrative expenses
Restructuring Reserve [Roll Forward]
Restructuring costs	0.0		0.8
Operating segments | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	2.0		8.8
Operating segments | Flooring NA
Restructuring Reserve [Roll Forward]
Restructuring costs	16.8		33.0
Operating segments | Flooring ROW
Restructuring Reserve [Roll Forward]
Restructuring costs	10.6		12.9
Operating segments | Lease impairments | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	0.1		0.1
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	0.6		6.2
Operating segments | Asset Write- Downs and (Gains) on Disposals, net | Flooring NA
Restructuring Reserve [Roll Forward]
Restructuring costs	9.5		18.3
Operating segments | Asset Write- Downs and (Gains) on Disposals, net | Flooring ROW
Restructuring Reserve [Roll Forward]
Restructuring costs	2.4		4.6
Operating segments | Severance | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	0.0		0.1
Operating segments | Severance | Flooring NA
Restructuring Reserve [Roll Forward]
Restructuring costs	0.4		0.7
Operating segments | Severance | Flooring ROW
Restructuring Reserve [Roll Forward]
Restructuring costs	7.6		7.2
Operating segments | Other Restructuring Costs | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	1.3		2.4
Operating segments | Other Restructuring Costs | Flooring NA
Restructuring Reserve [Roll Forward]
Restructuring costs	6.9		14.0
Operating segments | Other Restructuring Costs | Flooring ROW
Restructuring Reserve [Roll Forward]
Restructuring costs	$ 0.6		1.1
Corporate
Restructuring Reserve [Roll Forward]
Restructuring costs			0.0
Corporate | Lease impairments
Restructuring Reserve [Roll Forward]
Restructuring costs			0.0
Corporate | Asset Write- Downs and (Gains) on Disposals, net
Restructuring Reserve [Roll Forward]
Restructuring costs			0.0
Corporate | Severance
Restructuring Reserve [Roll Forward]
Restructuring costs			0.0
Corporate | Other Restructuring Costs
Restructuring Reserve [Roll Forward]
Restructuring costs			$ 0.0