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Employee Benefit Plans - Schedule of Net Benefit Costs (Details) - USD ($)
$ in Millions
 12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
May 28, 2016
Post-Retirement Benefits      
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]      
Interest cost $ 0.1 $ 0.2 $ 0.2
Net periodic benefit cost 0.1 0.2 0.2
Domestic      
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]      
Interest cost 0.1 0.1 0.0
Net periodic benefit cost 0.1 0.1 0.0
International      
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]      
Interest cost 2.7 2.7 3.8
Expected return on plan assets (5.6) (4.7) (5.4)
Net amortization 4.2 2.2 2.8
Net periodic benefit cost $ 1.3 $ 0.2 $ 1.2