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Fair Value Measurements Fair Value Measurements - Redeemable Noncontrolling Interests (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Nov. 28, 2020
Nov. 30, 2019
Nov. 28, 2020
Nov. 30, 2019
Redeemable Noncontrolling Interest [Line Items]        
Net income attributable to redeemable noncontrolling interests $ 1.5 $ 0.0 $ 2.0 $ (0.2)
Redeemable Noncontrolling Interests, Ending 56.5   56.5  
Payments to Acquire Additional Interest in Subsidiaries     0.0 $ 20.3
HAY        
Redeemable Noncontrolling Interest [Line Items]        
Redeemable Noncontrolling Interests, Beginning     50.4  
Net income attributable to redeemable noncontrolling interests     2.0  
Distributions to redeemable noncontrolling interests     (2.7)  
Cumulative translation adjustments attributable to redeemable noncontrolling interests     2.8  
Foreign currency translation adjustments     4.0  
Redeemable Noncontrolling Interests, Ending $ 56.5   $ 56.5  
Herman Miller Consumer Holdings [Member]        
Redeemable Noncontrolling Interest [Line Items]        
Payments to Acquire Additional Interest in Subsidiaries   $ 20.4