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Restructuring and Integration Expense - Schedule of Severance and Employee Benefit Costs (Details) - USD ($)	3 Months Ended		9 Months Ended		12 Months Ended
	Mar. 01, 2025	Mar. 02, 2024	Mar. 01, 2025	Mar. 02, 2024	Jun. 01, 2024
Changes in Restructuring Liability Balance [Roll Forward]
Beginning balance			$ 10,000,000.0
Integration Costs	$ 4,200,000	$ 1,700,000	4,200,000	$ 8,700,000
Amounts Paid			(8,400,000)
Ending balance	5,800,000		5,800,000		$ 10,000,000.0
Knoll Integration
Changes in Restructuring Liability Balance [Roll Forward]
Integration Costs	0	7,600,000	28,300,000	18,400,000
2025 Restructuring Plan
Changes in Restructuring Liability Balance [Roll Forward]
Integration Costs	4,200,000		4,200,000
2024 Restructuring Plan
Changes in Restructuring Liability Balance [Roll Forward]
Integration Costs					30,800,000
Total \| Knoll Integration
Changes in Restructuring Liability Balance [Roll Forward]
Beginning balance			700,000
Integration Costs			25,800,000
Amounts Paid			(7,100,000)
Non-cash costs			(19,000,000.0)
Ending balance	400,000		400,000		700,000
Severance and Employee Benefit \| Knoll Integration
Changes in Restructuring Liability Balance [Roll Forward]
Beginning balance			0
Integration Costs			0
Amounts Paid			0
Non-cash costs			0
Ending balance	0		0		0
Severance and Employee Benefit \| 2025 Restructuring Plan
Changes in Restructuring Liability Balance [Roll Forward]
Beginning balance			0
Integration Costs			4,200,000
Amounts Paid			(500,000)
Ending balance	3,700,000		3,700,000		0
Exit and Disposal Activities \| Knoll Integration
Changes in Restructuring Liability Balance [Roll Forward]
Beginning balance			700,000
Integration Costs		$ 6,600,000	25,800,000	$ 15,300,000
Amounts Paid			(7,100,000)
Non-cash costs			(19,000,000.0)
Ending balance	400,000		400,000		700,000
Exit and Disposal Activities \| 2024 Restructuring Plan
Changes in Restructuring Liability Balance [Roll Forward]
Beginning balance			10,000,000.0
Integration Costs			0
Amounts Paid			(7,900,000)
Ending balance	$ 2,100,000		$ 2,100,000		$ 10,000,000.0