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Restructuring and Integration Expense - Summary of Restructuring Expenses by Segment (Details) - USD ($)
$ in Millions
 3 Months Ended
Sep. 03, 2022
Aug. 28, 2021
Restructuring Cost and Reserve [Line Items]    
Restructuring expense $ 0.5 $ 0.0
Americas Contract    
Restructuring Cost and Reserve [Line Items]    
Restructuring expense 0.0 0.0
International Contract & Specialty    
Restructuring Cost and Reserve [Line Items]    
Restructuring expense 0.0 0.0
Retail    
Restructuring Cost and Reserve [Line Items]    
Restructuring expense 0.5 0.0
Knoll Integration    
Restructuring Cost and Reserve [Line Items]    
Restructuring expense 4.6 55.6
Knoll Integration | Corporate    
Restructuring Cost and Reserve [Line Items]    
Restructuring expense 1.0 54.6
Knoll Integration | Americas Contract | Operating Segments    
Restructuring Cost and Reserve [Line Items]    
Restructuring expense 2.9 1.0
Knoll Integration | International Contract & Specialty | Operating Segments    
Restructuring Cost and Reserve [Line Items]    
Restructuring expense 0.5 0.0
Knoll Integration | Retail | Operating Segments    
Restructuring Cost and Reserve [Line Items]    
Restructuring expense $ 0.2 $ 0.0