Restructuring and Integration Expense - Schedule of Severance and Employee Benefit Costs (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 03, 2023	May 28, 2022	May 29, 2021
Restructuring Cost and Reserve [Line Items]
Integration Costs	$ 34.4	$ 0.0	$ 2.7
Knoll Integration
Restructuring Cost and Reserve [Line Items]
Integration Costs	18.0	107.9
Knoll Integration | Severance and Employee Benefit
Restructuring Cost and Reserve [Line Items]
Beginning balance	1.4
Integration Costs	3.6	51.1
Amounts Paid	(2.3)
Non-cash costs	0.2
Ending balance	2.9	1.4
Knoll Integration | Exit and Disposal Activities
Restructuring Cost and Reserve [Line Items]
Beginning balance	0.0
Integration Costs	5.9
Amounts Paid	(5.9)
Non-cash costs	0.0
Ending balance	0.0	0.0
Knoll Integration | Severance And Employee Benefits And Exit And Disposal Activities
Restructuring Cost and Reserve [Line Items]
Beginning balance	1.4
Integration Costs	9.5
Amounts Paid	(8.2)
Non-cash costs	0.2
Ending balance	$ 2.9	$ 1.4