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Employee Benefit Plans - Schedule of Amounts Recognized in Other Comprehensive Income (Loss) (Details) - Pension Plan - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
Domestic    
Defined Benefit Plan Disclosure    
Net actuarial loss (gain) $ 7.8 $ (2.2)
Net amortization 0.1 0.1
Settlement charge 0.0 0.6
Effect of exchange rates 0.0 0.0
Total recognized in other comprehensive loss 7.9 (1.5)
International    
Defined Benefit Plan Disclosure    
Net actuarial loss (gain) 3.1 (12.4)
Net amortization (0.1) (2.3)
Settlement charge 0.0 0.0
Effect of exchange rates 0.7 (1.1)
Total recognized in other comprehensive loss $ 3.7 $ (15.8)