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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. 03, 2023
May 28, 2022
United States    
Defined Benefit Plan Disclosure    
Net actuarial (gain) loss $ (2.2) $ (2.9)
Net amortization 0.1 0.1
Settlement charge 0.6 0.0
Total recognized in other comprehensive loss (1.5) (2.8)
International    
Defined Benefit Plan Disclosure    
Net actuarial (gain) loss (12.4) (10.0)
Net amortization (3.4) (10.6)
Settlement charge 0.0 0.0
Total recognized in other comprehensive loss $ (15.8) $ (20.6)