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Employee Benefit Plans - Schedule of Amounts Recognized in Other Comprehensive Income (Loss) (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 03, 2017
May 28, 2016
Domestic    
Defined Benefit Plan Disclosure    
Net actuarial gain $ 0.0 $ 0.0
Total recognized in other comprehensive loss 0.0 0.0
International    
Defined Benefit Plan Disclosure    
Net actuarial gain 18.6 2.2
Net amortization (2.2) (2.8)
Total recognized in other comprehensive loss 16.4 (0.6)
Post-Retirement Benefits    
Defined Benefit Plan Disclosure    
Net actuarial gain (0.4) (1.3)
Total recognized in other comprehensive loss $ (0.4) $ (1.3)