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Fair Value Measurements - Redeemable Noncontrolling Interests (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Nov. 27, 2021
Nov. 28, 2020
Nov. 27, 2021
Nov. 28, 2020
Redeemable Noncontrolling Interest [Line Items]        
Redeemable Noncontrolling Interests, Beginning     $ 77.0  
Net earnings attributable to redeemable noncontrolling interests $ 2.3 $ 1.5 3.9 $ 2.0
Redeemable Noncontrolling Interests, Ending 69.4   69.4  
HAY        
Redeemable Noncontrolling Interest [Line Items]        
Redeemable Noncontrolling Interests, Beginning     77.0 50.4
Net earnings attributable to redeemable noncontrolling interests     3.9 2.0
Distributions to redeemable noncontrolling interests     (3.8) (2.7)
Cumulative translation adjustments attributable to redeemable noncontrolling interests     (2.0) 2.8
Foreign currency translation adjustments     (5.7) 4.0
Redeemable Noncontrolling Interests, Ending $ 69.4 $ 56.5 $ 69.4 $ 56.5