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Redeemable Noncontrolling Interests (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Dec. 02, 2017
Sep. 02, 2017
Dec. 01, 2018
Dec. 02, 2017
Redeemable Noncontrolling Interest [Line Items]        
Redeemable Noncontrolling Interests, Beginning     $ 30.5  
Redemption value adjustment $ (0.3) $ 0.2    
Redeemable Noncontrolling Interests, Ending     20.7  
Herman Miller Consumer Holdings        
Redeemable Noncontrolling Interest [Line Items]        
Redeemable Noncontrolling Interests, Beginning   $ 24.6 30.5 $ 24.6
Purchase of redeemable noncontrolling interests     10.1 1.0
Net income attributable to redeemable noncontrolling interests     0.1 0.0
Exercised options     0.2 0.0
Redemption value adjustment     0.0 0.2
Other adjustments     0.0 0.1
Redeemable Noncontrolling Interests, Ending $ 23.9   $ 20.7 $ 23.9