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Fair Value - Schedule of Redeemable Noncontrolling Interests (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
May 28, 2022
Redeemable Noncontrolling Interest [Line Items]      
Beginning Balance $ 107.6    
Redemption value adjustment 34.5 $ (1.9) $ (41.6)
Net earnings attributable to redeemable noncontrolling interests 2.3 4.0 $ 7.4
Ending Balance 73.9 107.6  
HAY      
Redeemable Noncontrolling Interest [Line Items]      
Beginning Balance 107.6    
Dividend attributable to redeemable noncontrolling interests (2.8)    
Redemption value adjustment (34.5)    
Net earnings attributable to redeemable noncontrolling interests 2.3    
Foreign currency translation adjustments 1.3    
Ending Balance $ 73.9 $ 107.6