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Employee Benefit Plans - Schedule of Funded Status and Amounts Recognized in the Balance Sheet (Details) - USD ($)
$ in Millions
 12 Months Ended
Jun. 03, 2017
May 28, 2016
May 30, 2015
Change in benefit obligation:      
Benefit obligation at beginning of year $ 105.4    
Benefit obligation at end of year 114.8 $ 105.4  
Change in plan assets:      
Fair value of plan assets at beginning of year 85.0    
Fair value of plan assets at end of year 80.5 85.0  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Non-current liabilities (38.5) (25.8)  
Domestic      
Change in benefit obligation:      
Benefit obligation at beginning of year 1.0 1.1  
Interest cost 0.1 0.0 $ 0.0
Foreign exchange impact 0.0 0.0  
Actuarial (gain) loss 0.0 0.0  
Benefits paid (0.1) (0.1)  
Benefit obligation at end of year 1.0 1.0 1.1
Change in plan assets:      
Fair value of plan assets at beginning of year 0.0 0.0  
Actual return on plan assets 0.0 0.0  
Foreign exchange impact 0.0 0.0  
Employer contributions 0.1 0.1  
Benefits paid (0.1) (0.1)  
Fair value of plan assets at end of year 0.0 0.0 0.0
Funded status:      
Under funded status at end of year (1.0) (1.0)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current liabilities (0.1) (0.1)  
Non-current liabilities (0.9) (0.9)  
Components of the amounts recognized in Accumulated other comprehensive loss before the effect of income taxes:      
Unrecognized net actuarial loss (gain) 0.3 0.3  
Accumulated other comprehensive loss 0.3 0.3  
International      
Change in benefit obligation:      
Benefit obligation at beginning of year 104.4 112.0  
Interest cost 2.7 3.8 4.3
Foreign exchange impact (12.5) (4.6)  
Actuarial (gain) loss 23.4 (4.4)  
Benefits paid (4.2) (2.4)  
Benefit obligation at end of year 113.8 104.4 112.0
Change in plan assets:      
Fair value of plan assets at beginning of year 85.0 92.0  
Actual return on plan assets 9.6 (1.3)  
Foreign exchange impact (10.3) (3.7)  
Employer contributions 0.4 0.4  
Benefits paid (4.2) (2.4)  
Fair value of plan assets at end of year 80.5 85.0 92.0
Funded status:      
Under funded status at end of year (33.3) (19.4)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current liabilities 0.0 0.0  
Non-current liabilities (33.3) (19.4)  
Components of the amounts recognized in Accumulated other comprehensive loss before the effect of income taxes:      
Unrecognized net actuarial loss (gain) 50.9 39.3  
Accumulated other comprehensive loss 50.9 39.3  
Post-Retirement Benefits      
Change in benefit obligation:      
Benefit obligation at beginning of year 5.9 7.7  
Interest cost 0.2 0.2 0.2
Foreign exchange impact 0.0 0.0  
Actuarial (gain) loss (0.4) (1.3)  
Benefits paid (0.7) (0.7)  
Benefit obligation at end of year 5.0 5.9 7.7
Change in plan assets:      
Fair value of plan assets at beginning of year 0.0 0.0  
Actual return on plan assets 0.0 0.0  
Foreign exchange impact 0.0 0.0  
Employer contributions 0.7 0.7  
Benefits paid (0.7) (0.7)  
Fair value of plan assets at end of year 0.0 0.0 $ 0.0
Funded status:      
Under funded status at end of year (5.0) (5.9)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current liabilities (0.7) (0.7)  
Non-current liabilities (4.3) (5.2)  
Components of the amounts recognized in Accumulated other comprehensive loss before the effect of income taxes:      
Unrecognized net actuarial loss (gain) (0.6) (0.2)  
Accumulated other comprehensive loss $ (0.6) $ (0.2)