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Restructuring and Integration Expense - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Mar. 01, 2025
May 31, 2025
Jun. 01, 2024
Jun. 03, 2023
Restructuring Cost and Reserve [Line Items]        
Restructuring expenses   $ 14.8 $ 30.8 $ 34.4
Assets held for sale   0.0 3.5  
Knoll Integration        
Restructuring Cost and Reserve [Line Items]        
Restructuring expenses   28.3 23.5 18.0
Assets held for sale   3.5 3.5  
Gain on sale of facility $ 2.8      
Knoll Integration | Exit and Disposal Activities        
Restructuring Cost and Reserve [Line Items]        
Restructuring expenses   25.8 19.4 5.9
Knoll Integration | Other Restructuring        
Restructuring Cost and Reserve [Line Items]        
Restructuring expenses   2.5 4.1 8.5
Knoll Integration | Severance and Employee Benefit        
Restructuring Cost and Reserve [Line Items]        
Restructuring expenses   0.0   3.6
2024 Restructuring Plan        
Restructuring Cost and Reserve [Line Items]        
Future restructuring costs expected   0.0 0.0  
Restructuring expenses   0.0 $ 30.8  
2024 Restructuring Plan | Exit and Disposal Activities        
Restructuring Cost and Reserve [Line Items]        
Restructuring expenses   0.0    
2024 Restructuring Plan | Severance and Employee Benefit        
Restructuring Cost and Reserve [Line Items]        
Restructuring expenses   0.0    
2023 Restructuring Plan        
Restructuring Cost and Reserve [Line Items]        
Future restructuring costs expected   0.0   0.0
Restructuring expenses       34.0
2023 Restructuring Plan | Severance and Employee Benefit        
Restructuring Cost and Reserve [Line Items]        
Restructuring expenses       27.9
2023 Restructuring Plan | Non-Impairment Charges        
Restructuring Cost and Reserve [Line Items]        
Restructuring expenses       $ 6.1
2025 Restructuring Plan        
Restructuring Cost and Reserve [Line Items]        
Restructuring expenses   14.8    
2025 Restructuring Plan | Exit and Disposal Activities        
Restructuring Cost and Reserve [Line Items]        
Restructuring expenses   1.0    
2025 Restructuring Plan | Severance and Employee Benefit        
Restructuring Cost and Reserve [Line Items]        
Restructuring expenses   13.8    
Knoll | Knoll Integration        
Restructuring Cost and Reserve [Line Items]        
Restructuring and related cost, cost incurred to date   144.4    
Future restructuring costs expected   $ 0.0