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Restructuring and Integration Expense - Additional Information (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]        
Integration costs $ 14.7 $ 0.0 $ 15.2 $ 0.0
Knoll Integration        
Restructuring Cost and Reserve [Line Items]        
Integration costs 4.1 $ 40.2 8.7 95.8
Knoll Integration | Severance and Employee Benefit        
Restructuring Cost and Reserve [Line Items]        
Integration costs     1.4 46.4
Knoll Integration | Exit and Disposal Activities        
Restructuring Cost and Reserve [Line Items]        
Integration costs     2.8  
Knoll Integration | Other Restructuring        
Restructuring Cost and Reserve [Line Items]        
Integration costs     4.5 20.5
Knoll Integration | Non-Cash Asset Impairments        
Restructuring Cost and Reserve [Line Items]        
Integration costs       15.5
Knoll Integration | Non-Cash Debt Extinguishment        
Restructuring Cost and Reserve [Line Items]        
Integration costs       $ 13.4
Knoll Integration | Knoll        
Restructuring Cost and Reserve [Line Items]        
Restructuring and related cost, expected cost 140.0   140.0  
2023 Restructuring Plan | Severance and Employee Benefit        
Restructuring Cost and Reserve [Line Items]        
Integration costs $ 14.7   15.2  
2023 Restructuring Plan | Severance and Employee Benefit | Minimum        
Restructuring Cost and Reserve [Line Items]        
Cost savings     30.0  
2023 Restructuring Plan | Severance and Employee Benefit | Maximum        
Restructuring Cost and Reserve [Line Items]        
Cost savings     $ 35.0