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Restructuring and Integration Expense - Additional Information (Details) - USD ($)
 3 Months Ended 9 Months Ended 12 Months Ended
Mar. 02, 2024
Mar. 04, 2023
Mar. 02, 2024
Mar. 04, 2023
Jun. 03, 2023
Restructuring Cost and Reserve [Line Items]          
Restructuring expense $ 1,700,000 $ 4,600,000 $ 8,700,000 $ 19,800,000  
Assets held for sale 4,600,000   4,600,000   $ 0
Knoll Integration          
Restructuring Cost and Reserve [Line Items]          
Restructuring expense 7,600,000 4,000,000 18,400,000 12,700,000  
Knoll Integration | Exit and Disposal Activities          
Restructuring Cost and Reserve [Line Items]          
Restructuring expense 6,600,000 800,000 15,300,000 3,600,000  
Knoll Integration | Other Restructuring          
Restructuring Cost and Reserve [Line Items]          
Restructuring expense 1,000,000 1,500,000 3,100,000 6,000,000  
Knoll Integration | Severance and Employee Benefit          
Restructuring Cost and Reserve [Line Items]          
Restructuring expense   $ 1,700,000 0 $ 3,100,000  
Knoll Integration | Knoll          
Restructuring Cost and Reserve [Line Items]          
Restructuring and related cost, expected cost 150,000,000   150,000,000    
2023 Restructuring Plan          
Restructuring Cost and Reserve [Line Items]          
Restructuring expense         34,000,000
Restructuring costs expected         0
2023 Restructuring Plan | Severance and Employee Benefit          
Restructuring Cost and Reserve [Line Items]          
Restructuring expense     0   27,900,000
2023 Restructuring Plan | Severance and Employee Benefit | Minimum          
Restructuring Cost and Reserve [Line Items]          
Cost savings         30,000,000
2023 Restructuring Plan | Severance and Employee Benefit | Maximum          
Restructuring Cost and Reserve [Line Items]          
Cost savings         35,000,000
2023 Restructuring Plan | Non-impairment charges          
Restructuring Cost and Reserve [Line Items]          
Restructuring expense         $ 6,100,000
2024 Restructuring Plan | Severance and Employee Benefit          
Restructuring Cost and Reserve [Line Items]          
Restructuring expense $ 1,700,000   8,700,000    
2024 Restructuring Plan | Severance and Employee Benefit | Minimum          
Restructuring Cost and Reserve [Line Items]          
Cost savings     15,000,000    
2024 Restructuring Plan | Severance and Employee Benefit | Maximum          
Restructuring Cost and Reserve [Line Items]          
Cost savings     $ 17,000,000