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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
May. 30, 2015
May. 31, 2014
Jun. 01, 2013
Change in plan assets:      
Transfers out to 401(k) plan   $ (0.9)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Non-current liabilities $ (27.8) (18.2)  
Domestic      
Change in benefit obligation:      
Benefit obligation at beginning of year 1.1 314.7  
Service cost 0.0 0.0 $ 1.9
Interest cost 0.0 5.2 10.9
Curtailments 0.0 0.0  
Plan settlements 0.0 (331.1)  
Foreign exchange impact 0.0 0.0  
Actuarial (gain)/loss 0.0 16.8  
Employee contributions 0.0 0.0  
Expenses paid 0.0 (0.4)  
Benefits paid 0.0 (4.1)  
Benefit obligation at end of year 1.1 1.1 314.7
Change in plan assets:      
Fair value of plan assets at beginning of year 0.0 290.0  
Actual return on plan assets 0.0 (2.3)  
Foreign exchange impact 0.0 0.0  
Employer contributions 0.0 48.8  
Employee contributions 0.0 0.0  
Plan settlements 0.0 (331.1)  
Expenses paid 0.0 (0.4)  
Benefits paid 0.0 (4.1)  
Transfers out to 401(k) plan 0.0 (0.9)  
Fair value of plan assets at end of year 0.0 0.0 290.0
Funded status:      
Under funded status at end of year (1.1) (1.1)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current liabilities (0.1) (0.1)  
Non-current liabilities (1.0) (1.0)  
Components of the amounts recognized in accumulated other comprehensive loss before the effect of income taxes:      
Unrecognized net actuarial loss 0.3 0.4  
Unrecognized prior service cost (credit) 0.0 0.0  
Accumulated other comprehensive loss 0.3 0.4  
International      
Change in benefit obligation:      
Benefit obligation at beginning of year 105.4 91.2  
Service cost 0.0 0.0 0.0
Interest cost 4.3 4.2 3.7
Curtailments 0.0 0.0  
Plan settlements 0.0 0.0  
Foreign exchange impact (9.8) 9.6  
Actuarial (gain)/loss 15.0 2.3  
Employee contributions 0.0 0.0  
Expenses paid 0.0 0.0  
Benefits paid (2.9) (1.9)  
Benefit obligation at end of year 112.0 105.4 91.2
Change in plan assets:      
Fair value of plan assets at beginning of year 94.8 84.2  
Actual return on plan assets 8.0 2.4  
Foreign exchange impact (8.5) 8.6  
Employer contributions 0.6 1.5  
Employee contributions 0.0 0.0  
Plan settlements 0.0 0.0  
Expenses paid 0.0 0.0  
Benefits paid (2.9) (1.9)  
Transfers out to 401(k) plan 0.0 0.0  
Fair value of plan assets at end of year 92.0 94.8 84.2
Funded status:      
Under funded status at end of year (20.0) (10.6)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current liabilities 0.0 0.0  
Non-current liabilities (20.0) (10.6)  
Components of the amounts recognized in accumulated other comprehensive loss before the effect of income taxes:      
Unrecognized net actuarial loss 41.6 34.3  
Unrecognized prior service cost (credit) 0.0 0.0  
Accumulated other comprehensive loss 41.6 34.3  
Post-Retirement Benefits      
Change in benefit obligation:      
Benefit obligation at beginning of year 7.5 9.0  
Service cost 0.0 0.0 0.0
Interest cost 0.2 0.3 0.3
Curtailments 0.0 0.0  
Plan settlements 0.0 0.0  
Foreign exchange impact 0.0 0.0  
Actuarial (gain)/loss 0.8 (1.0)  
Employee contributions 0.0 0.0  
Expenses paid 0.0 0.0  
Benefits paid (0.8) (0.8)  
Benefit obligation at end of year 7.7 7.5 9.0
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 0.8 0.8  
Employee contributions 0.0 0.0  
Plan settlements 0.0 0.0  
Expenses paid 0.0 0.0  
Benefits paid (0.8) (0.8)  
Transfers out to 401(k) plan 0.0 0.0  
Fair value of plan assets at end of year 0.0 0.0 $ 0.0
Funded status:      
Under funded status at end of year (7.7) (7.5)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current liabilities (0.9) (0.9)  
Non-current liabilities (6.8) (6.6)  
Components of the amounts recognized in accumulated other comprehensive loss before the effect of income taxes:      
Unrecognized net actuarial loss 1.1 0.3  
Unrecognized prior service cost (credit) 0.0 0.0  
Accumulated other comprehensive loss $ 1.1 $ 0.3