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Fair Value - Schedule of Redeemable Noncontrolling Interests (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 03, 2023
May 28, 2022
May 29, 2021
Redeemable Noncontrolling Interest [Line Items]      
Beginning Balance $ 106.9    
Redemption value adjustment     $ (15.0)
Net earnings attributable to redeemable noncontrolling interests 4.0 $ 7.4 $ 5.7
Ending Balance 107.6 106.9  
HAY      
Redeemable Noncontrolling Interest [Line Items]      
Beginning Balance 106.9    
Dividend attributable to redeemable noncontrolling interests (4.9)    
Redemption value adjustment 1.9    
Net earnings attributable to redeemable noncontrolling interests 4.0    
Foreign currency translation adjustments (0.3)    
Ending Balance $ 107.6 $ 106.9