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Fair Value Measurements - Redeemable Noncontrolling Interests (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Dec. 03, 2022
Nov. 27, 2021
Dec. 03, 2022
Nov. 27, 2021
Redeemable Noncontrolling Interest [Line Items]        
Beginning Balance     $ 106.9  
Net earnings attributable to redeemable noncontrolling interests $ 1.5 $ 2.3 3.1 $ 3.9
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     3.1 3.9
Dividend attributable to redeemable noncontrolling interests     (1.6) (3.8)
Cumulative translation adjustments attributable to redeemable noncontrolling interests     0.0 (2.0)
Foreign currency translation adjustments     (1.8) (5.7)
Ending Balance $ 106.6 $ 69.4 $ 106.6 $ 69.4