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Redeemable Noncontrolling Interests (Details) - USD ($)
$ in Millions
9 Months Ended
Mar. 03, 2018
Mar. 04, 2017
Redeemable Noncontrolling Interest [Line Items]    
Redeemable Noncontrolling Interests, Beginning $ 24.6  
Redeemable Noncontrolling Interests, Ending 24.3  
Herman Miller Consumer Holdings    
Redeemable Noncontrolling Interest [Line Items]    
Redeemable Noncontrolling Interests, Beginning 24.6 $ 27.0
Purchase of redeemable noncontrolling interests (1.0) (1.5)
Net income attributable to redeemable noncontrolling interests 0.2 0.1
Redemption value adjustment 0.5 (0.7)
Other adjustments 0.0 0.1
Redeemable Noncontrolling Interests, Ending $ 24.3 $ 25.0