Restructuring and Integration Expense - Additional Information (Details) - USD ($) $ in Millions	3 Months Ended
	Sep. 03, 2022	Aug. 28, 2021
Restructuring Cost and Reserve [Line Items]
Integration costs	$ 0.5	$ 0.0
Severance and Employee Benefit
Restructuring Cost and Reserve [Line Items]
Integration costs	0.5
Knoll Integration
Restructuring Cost and Reserve [Line Items]
Integration costs	4.6	$ 55.6
Knoll Integration | Severance and Employee Benefit
Restructuring Cost and Reserve [Line Items]
Integration costs	1.2
Knoll Integration | Exit and Disposal Activities
Restructuring Cost and Reserve [Line Items]
Integration costs	1.4
Knoll Integration | Other Restructuring
Restructuring Cost and Reserve [Line Items]
Integration costs	2.0
Knoll Integration | Knoll | Minimum
Restructuring Cost and Reserve [Line Items]
Restructuring and related cost, expected cost	100.0
Knoll Integration | Knoll | Maximum
Restructuring Cost and Reserve [Line Items]
Restructuring and related cost, expected cost	$ 120.0