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Fair Value - Schedule of Redeemable Noncontrolling Interests (Details) - USD ($)
$ in Millions
12 Months Ended
May 29, 2021
May 30, 2020
Jun. 01, 2019
Redeemable Noncontrolling Interest [Line Items]      
Beginning Balance $ 50.4    
Redemption value adjustment (15.0) $ 17.8  
Ending Balance 77.0 50.4  
Indefinite-lived intangibles 97.6 92.8 $ 78.1
Fair Value, Inputs, Level 3      
Redeemable Noncontrolling Interest [Line Items]      
Indefinite-lived intangibles 97.6    
Herman Miller Consumer Holdings      
Redeemable Noncontrolling Interest [Line Items]      
Beginning Balance 0.0 20.6  
Purchase of HMCH redeemable noncontrolling interests (20.4)  
Redemption value adjustment (0.2)  
Exercised options 0.0 0.0  
Ending Balance 0.0 0.0  
HAY      
Redeemable Noncontrolling Interest [Line Items]      
Beginning Balance 50.4    
Dividend attributable to redeemable noncontrolling interests (2.8)    
Redemption value adjustment 15.0    
Net income attributable to redeemable noncontrolling interests 5.7    
Foreign currency translation adjustments 8.7    
Ending Balance $ 77.0 $ 50.4