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Fair Value Measurements - Redeemable Noncontrolling Interests (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 04, 2023
Feb. 26, 2022
Mar. 04, 2023
Feb. 26, 2022
Redeemable Noncontrolling Interest [Line Items]        
Beginning Balance     $ 106.9  
Net earnings attributable to redeemable noncontrolling interests $ 0.7 $ 1.8 3.8 $ 5.7
Ending Balance 106.6   106.6  
HAY        
Redeemable Noncontrolling Interest [Line Items]        
Beginning Balance     106.9 77.0
Net earnings attributable to redeemable noncontrolling interests     3.8 5.7
Dividend attributable to redeemable noncontrolling interests     (3.2) (6.6)
Cumulative translation adjustments attributable to redeemable noncontrolling interests     0.0 (2.0)
Foreign currency translation adjustments     (0.9) (6.0)
Ending Balance $ 106.6 $ 68.1 $ 106.6 $ 68.1