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Redeemable Noncontrolling Interests (Details) - USD ($)
$ in Millions
12 Months Ended
Jul. 23, 2019
Jun. 01, 2019
Jun. 02, 2018
Jun. 03, 2017
Redeemable Noncontrolling Interest [Line Items]        
Balance at beginning of period   $ 30.5    
Purchase of noncontrolling interests   (10.1) $ (1.0) $ (1.5)
Redemption value adjustment     (6.2) 1.2
Balance at end of period   20.6 30.5  
Herman Miller Consumer Holdings [Member]        
Redeemable Noncontrolling Interest [Line Items]        
Balance at beginning of period   30.5 24.6  
Purchase of redeemable noncontrolling interests   (10.1) (1.0)  
Net income attributable to redeemable noncontrolling interests   0.0 0.6  
Exercised options   0.2 0.1  
Redemption value adjustment   0.0 6.2  
Other adjustments   0.0 0.0  
Balance at end of period   $ 20.6 $ 30.5 $ 24.6
Subsequent Event | Herman Miller Consumer Holdings [Member]        
Redeemable Noncontrolling Interest [Line Items]        
Purchase of redeemable noncontrolling interests $ 12.6