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Significant Accounting and Reporting Policies - Goodwill and Indefinite-lived Intangible Assets (Details) - USD ($)
$ in Millions
 12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
Mar. 31, 2024
May 28, 2022
Indefinite-lived Intangible Assets [Line Items]        
Impairment charges $ 16.8      
Indefinite-lived intangibles 465.5 $ 480.7   $ 501.0
Trade name        
Indefinite-lived Intangible Assets [Line Items]        
Impairment charges 16.8      
Knoll Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Impaired intangible asset, excess of carrying value over fair value $ 8.9      
Impairment charges   19.7    
Impairment, Intangible Asset, Indefinite-Lived (Excluding Goodwill), Statement of Income or Comprehensive Income [Extensible Enumeration] Impairment charges      
Knoll Trade Name | Carrying value        
Indefinite-lived Intangible Assets [Line Items]        
Indefinite-lived intangibles $ 153.3 173.0    
Knoll Trade Name | Fair value        
Indefinite-lived Intangible Assets [Line Items]        
Indefinite-lived intangibles 144.4 $ 153.3    
Muuto Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Impaired intangible asset, excess of carrying value over fair value $ 7.9      
Impairment, Intangible Asset, Indefinite-Lived (Excluding Goodwill), Statement of Income or Comprehensive Income [Extensible Enumeration] Impairment charges      
Muuto Trade Name | Carrying value        
Indefinite-lived Intangible Assets [Line Items]        
Indefinite-lived intangibles $ 88.4      
Muuto Trade Name | Fair value        
Indefinite-lived Intangible Assets [Line Items]        
Indefinite-lived intangibles $ 80.5      
Valuation Relief From Forecast Growth Rate 10% Decrease | Knoll Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 10.00%      
Impairment charges $ 14.0      
Valuation Relief From Forecast Growth Rate 10% Decrease | Muuto Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 10.00%      
Impairment charges $ 8.0      
Global Retail        
Indefinite-lived Intangible Assets [Line Items]        
Excess of fair value over carrying amount (as percent)     37.00%  
Measurement Input Forecasted Sales | Global Retail | Valuation Method, Reducing Reporting Unit's Forecasted Sales by 5%        
Indefinite-lived Intangible Assets [Line Items]        
Excess of fair value over carrying amount (as percent) 5.00%      
Measurement Input Forecasted Sales | Global Retail | Valuation Relief From Forecast Discount Rate 100 Basis Points Decrease        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 1.00%      
Measurement Input Forecasted Sales | Global Retail | Valuation Relief From Forecast Discount Rate 100 Basis Points Increase        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 1.00%      
Discount Rate | Relief from Royalty Approach | Knoll Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 12.00%      
Royalty Rate | Relief from Royalty Approach | Knoll Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 2.00%      
Royalty Rate | Relief from Royalty Approach | Muuto Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 4.50%      
Royalty Rate | Valuation Approach Royalty Rate 25bps Decrease | Knoll Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 0.25%      
Impairment charges $ 18.0      
Royalty Rate | Valuation Approach Royalty Rate 25bps Decrease | Muuto Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 0.25%      
Impairment charges $ 4.5      
Royalty Rate | Valuation Approach Discount Rate 100bps Increase | Knoll Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 1.00%      
Impairment charges $ 14.0      
Royalty Rate | Valuation Approach Discount Rate 100bps Increase | Muuto Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 1.00%      
Impairment charges $ 8.0      
Long-term Growth Rate | Relief from Royalty Approach | Knoll Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 2.50%      
Long-term Growth Rate | Relief from Royalty Approach | Muuto Trade Name        
Indefinite-lived Intangible Assets [Line Items]        
Measurement inputs (as percent) 3.00%