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Restructuring and Integration Expense - Schedule of Severance and Employee Benefit Costs (Details) - USD ($)
$ in Millions
 12 Months Ended
May 31, 2025
Jun. 01, 2024
Jun. 03, 2023
Restructuring Cost and Reserve [Line Items]      
Integration Costs $ 14.8 $ 30.8 $ 34.4
Knoll Integration      
Restructuring Cost and Reserve [Line Items]      
Integration Costs 28.3 23.5 18.0
Knoll Integration | Severance and Employee Benefit      
Restructuring Cost and Reserve [Line Items]      
Beginning balance 0.0    
Integration Costs 0.0   3.6
Amounts Paid 0.0    
Non-cash Costs 0.0    
Ending balance 0.0 0.0  
Knoll Integration | Exit and Disposal Activities      
Restructuring Cost and Reserve [Line Items]      
Beginning balance 0.7    
Integration Costs 25.8 19.4 $ 5.9
Amounts Paid (7.5)    
Non-cash Costs (19.0)    
Ending balance 0.0 0.7  
Knoll Integration | Severance and Employee Benefits and Exit And Disposal Activities      
Restructuring Cost and Reserve [Line Items]      
Beginning balance 0.7    
Integration Costs 25.8    
Amounts Paid (7.5)    
Non-cash Costs (19.0)    
Ending balance $ 0.0 $ 0.7