Restructuring, Acquisition and Integration-Related Costs - Schedule of Restructuring Activity (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 04, 2026	Jun. 28, 2025	Jul. 04, 2026	Jun. 28, 2025
Restructuring Reserve [Roll Forward]
Beginning balance	$ 17.0		$ 27.2
Restructuring costs	38.7		76.1
Cash proceeds (payments)	(8.9)		(20.5)
Non-cash (expense) income	(25.7)		(61.7)
Ending balance	21.1		21.1
Location, Statement of Income, Balance [Axis]: us-gaap:CostOfGoodsAndServicesSold
Restructuring Reserve [Roll Forward]
Restructuring costs	$ 27.0	$ 26.2	$ 61.8	$ 51.5
Restructuring charges, statement of income or comprehensive income [Extensible Enumeration]	Cost of Product and Service Sold	Cost of Product and Service Sold	Cost of Product and Service Sold	Cost of Product and Service Sold
Location, Statement of Income, Balance [Axis]: us-gaap:SellingGeneralAndAdministrativeExpense
Restructuring Reserve [Roll Forward]
Restructuring costs	$ 11.7	$ 3.2	$ 14.3	$ 3.2
Restructuring charges, statement of income or comprehensive income [Extensible Enumeration]	Selling, General and Administrative Expense		Selling, General and Administrative Expense
Lease impairments
Restructuring Reserve [Roll Forward]
Beginning balance	$ 0.0		$ 0.0
Restructuring costs	2.6		3.7
Cash proceeds (payments)	0.0		0.0
Non-cash (expense) income	(2.6)		(3.7)
Ending balance	0.0		0.0
Lease impairments | Location, Statement of Income, Balance [Axis]: us-gaap:CostOfGoodsAndServicesSold
Restructuring Reserve [Roll Forward]
Restructuring costs	2.6		3.7
Lease impairments | Location, Statement of Income, Balance [Axis]: us-gaap:SellingGeneralAndAdministrativeExpense
Restructuring Reserve [Roll Forward]
Restructuring costs	0.0		0.0
Asset write-downs and gains on disposals
Restructuring Reserve [Roll Forward]
Beginning balance	0.0		0.0
Restructuring costs	18.4		50.2
Cash proceeds (payments)	1.6		6.8
Non-cash (expense) income	(20.0)		(57.0)
Ending balance	0.0		0.0
Asset write-downs and gains on disposals | Location, Statement of Income, Balance [Axis]: us-gaap:CostOfGoodsAndServicesSold
Restructuring Reserve [Roll Forward]
Restructuring costs	16.3		47.3
Asset write-downs and gains on disposals | Location, Statement of Income, Balance [Axis]: us-gaap:SellingGeneralAndAdministrativeExpense
Restructuring Reserve [Roll Forward]
Restructuring costs	2.1		2.9
Severance
Restructuring Reserve [Roll Forward]
Beginning balance	17.0		27.2
Restructuring costs	9.6		10.2
Cash proceeds (payments)	(2.8)		(15.8)
Non-cash (expense) income	(2.7)		(0.5)
Ending balance	21.1		21.1
Severance | Location, Statement of Income, Balance [Axis]: us-gaap:CostOfGoodsAndServicesSold
Restructuring Reserve [Roll Forward]
Restructuring costs	0.7		0.8
Severance | Location, Statement of Income, Balance [Axis]: us-gaap:SellingGeneralAndAdministrativeExpense
Restructuring Reserve [Roll Forward]
Restructuring costs	8.9		9.4
Other restructuring costs
Restructuring Reserve [Roll Forward]
Beginning balance	0.0		0.0
Restructuring costs	8.1		12.0
Cash proceeds (payments)	(7.7)		(11.5)
Non-cash (expense) income	(0.4)		(0.5)
Ending balance	0.0		0.0
Other restructuring costs | Location, Statement of Income, Balance [Axis]: us-gaap:CostOfGoodsAndServicesSold
Restructuring Reserve [Roll Forward]
Restructuring costs	7.4		10.0
Other restructuring costs | Location, Statement of Income, Balance [Axis]: us-gaap:SellingGeneralAndAdministrativeExpense
Restructuring Reserve [Roll Forward]
Restructuring costs	0.7		2.0
Operating segments | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	5.1		8.3
Operating segments | Flooring NA
Restructuring Reserve [Roll Forward]
Restructuring costs	13.5		44.8
Operating segments | Flooring ROW
Restructuring Reserve [Roll Forward]
Restructuring costs	20.1		23.0
Operating segments | Lease impairments | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	2.6		3.7
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 | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	1.7		3.2
Operating segments | Asset write-downs and gains on disposals | Flooring NA
Restructuring Reserve [Roll Forward]
Restructuring costs	6.7		36.0
Operating segments | Asset write-downs and gains on disposals | Flooring ROW
Restructuring Reserve [Roll Forward]
Restructuring costs	10.0		11.0
Operating segments | Severance | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	0.1		0.5
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	9.0		9.1
Operating segments | Other restructuring costs | Global Ceramic
Restructuring Reserve [Roll Forward]
Restructuring costs	0.7		0.9
Operating segments | Other restructuring costs | Flooring NA
Restructuring Reserve [Roll Forward]
Restructuring costs	6.3		8.2
Operating segments | Other restructuring costs | Flooring ROW
Restructuring Reserve [Roll Forward]
Restructuring costs	$ 1.1		$ 2.9