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Fair Value Measurements Fair Value Measurements - Redeemable Noncontrolling Interests (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Feb. 27, 2021
Feb. 29, 2020
Feb. 27, 2021
Feb. 29, 2020
Redeemable Noncontrolling Interest [Line Items]        
Net income attributable to redeemable noncontrolling interests $ 1.8 $ (0.4) $ 3.8 $ (0.6)
Redeemable Noncontrolling Interests, Ending 59.1   59.1  
Payments to Acquire Additional Interest in Subsidiaries     0.0 20.3
HAY        
Redeemable Noncontrolling Interest [Line Items]        
Redeemable Noncontrolling Interests, Beginning     50.4 0.0
Increase due to HAY acquisition     0.0 72.1
Net income attributable to redeemable noncontrolling interests     3.8 (0.4)
Distributions to redeemable noncontrolling interests     (2.7) 0.0
Cumulative translation adjustments attributable to redeemable noncontrolling interests     3.1 0.0
Foreign currency translation adjustments     4.5 0.0
Redeemable Noncontrolling Interests, Ending $ 59.1 $ 71.7 $ 59.1 71.7
Herman Miller Consumer Holdings [Member]        
Redeemable Noncontrolling Interest [Line Items]        
Payments to Acquire Additional Interest in Subsidiaries       $ 20.4