Restructuring and Integration Expense - Summary of Restructuring Expenses by Segment (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Dec. 03, 2022	Nov. 27, 2021	Dec. 03, 2022	Nov. 27, 2021
Restructuring Cost and Reserve [Line Items]
Restructuring expense	$ 14.7	$ 0.0	$ 15.2	$ 0.0
Americas Contract
Restructuring Cost and Reserve [Line Items]
Restructuring expense	13.2	0.0	13.2	0.0
International Contract & Specialty
Restructuring Cost and Reserve [Line Items]
Restructuring expense	0.7	0.0	0.7	0.0
Retail
Restructuring Cost and Reserve [Line Items]
Restructuring expense	0.8	0.0	1.3	0.0
Knoll Integration
Restructuring Cost and Reserve [Line Items]
Restructuring expense	4.1	40.2	8.7	95.8
Knoll Integration \| Corporate
Restructuring Cost and Reserve [Line Items]
Restructuring expense	2.0	20.3	3.0	74.9
Knoll Integration \| Americas Contract \| Operating Segments
Restructuring Cost and Reserve [Line Items]
Restructuring expense	1.1	19.9	4.0	20.9
Knoll Integration \| International Contract & Specialty \| Operating Segments
Restructuring Cost and Reserve [Line Items]
Restructuring expense	1.0	0.0	1.5	0.0
Knoll Integration \| Retail \| Operating Segments
Restructuring Cost and Reserve [Line Items]
Restructuring expense	$ 0.0	$ 0.0	$ 0.2	$ 0.0