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Employee Benefit Plans - Schedule of Funded Status and Amounts Recognized in the Balance Sheet (Details) (USD $)
In Millions, unless otherwise specified
 12 Months Ended
May 31, 2014
Jun. 01, 2013
Jun. 02, 2012
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 (18.2) (39.6)  
Domestic
      
Change in benefit obligation:      
Benefit obligation at beginning of year 314.7 332.7  
Service cost 0 1.9 7.0
Interest cost 5.2 10.9 14.4
Curtailments 0 0  
Plan settlements (331.1) (40.0)  
Foreign exchange impact 0 0  
Actuarial (gain)/loss 16.8 15.6  
Employee contributions 0 0  
Expenses paid (0.4) 0  
Benefits paid (4.1) (6.4)  
Benefit obligation at end of year 1.1 314.7 332.7
Change in plan assets:      
Fair value of plan assets at beginning of year 290.0 316.9  
Actual return on plan assets (2.3) 19.5  
Foreign exchange impact 0 0  
Employer contributions 48.8 0  
Employee contributions 0 0  
Plan settlements (331.1) (40.0)  
Expenses paid (0.4) 0  
Benefits paid (4.1) (6.4)  
Transfers out to 401(k) plan (0.9) 0  
Fair value of plan assets at end of year 0 290.0 316.9
Funded status:      
Under funded status at end of year (1.1) (24.7)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current liabilities (0.1) (0.1)  
Non-current liabilities (1.0) (24.6)  
Components of the amounts recognized in accumulated other comprehensive loss before the effect of income taxes:      
Unrecognized net actuarial loss 0.4 140.5  
Unrecognized prior service cost (credit) 0 0  
Accumulated other comprehensive loss 0.4 140.5  
International
      
Change in benefit obligation:      
Benefit obligation at beginning of year 91.2 86.1  
Service cost 0 0 1.3
Interest cost 4.2 3.7 3.9
Curtailments 0 0  
Plan settlements 0 0  
Foreign exchange impact 9.6 (1.2)  
Actuarial (gain)/loss 2.3 4.5  
Employee contributions 0 0  
Expenses paid 0 0  
Benefits paid (1.9) (1.9)  
Benefit obligation at end of year 105.4 91.2 86.1
Change in plan assets:      
Fair value of plan assets at beginning of year 84.2 72.6  
Actual return on plan assets 2.4 11.1  
Foreign exchange impact 8.6 (1.2)  
Employer contributions 1.5 3.6  
Employee contributions 0 0  
Plan settlements 0 0  
Expenses paid 0 0  
Benefits paid (1.9) (1.9)  
Transfers out to 401(k) plan 0 0  
Fair value of plan assets at end of year 94.8 84.2 72.6
Funded status:      
Under funded status at end of year (10.6) (7.0)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current liabilities 0 0  
Non-current liabilities (10.6) (7.0)  
Components of the amounts recognized in accumulated other comprehensive loss before the effect of income taxes:      
Unrecognized net actuarial loss 34.3 27.9  
Unrecognized prior service cost (credit) 0 0  
Accumulated other comprehensive loss 34.3 27.9  
Post-Retirement Benefits
      
Change in benefit obligation:      
Benefit obligation at beginning of year 9.0 9.8  
Service cost 0 0 0
Interest cost 0.3 0.3 0.4
Curtailments 0 0  
Plan settlements 0 0  
Foreign exchange impact 0 0  
Actuarial (gain)/loss (1.0) (0.2)  
Employee contributions 0 0  
Expenses paid 0 0  
Benefits paid (0.8) (0.9)  
Benefit obligation at end of year 7.5 9.0 9.8
Change in plan assets:      
Fair value of plan assets at beginning of year 0 0  
Actual return on plan assets 0 0  
Foreign exchange impact 0 0  
Employer contributions 0.8 0.9  
Employee contributions 0 0  
Plan settlements 0 0  
Expenses paid 0 0  
Benefits paid (0.8) (0.9)  
Transfers out to 401(k) plan 0 0  
Fair value of plan assets at end of year 0 0 0
Funded status:      
Under funded status at end of year (7.5) (9.0)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current liabilities (0.9) (1.0)  
Non-current liabilities (6.6) (8.0)  
Components of the amounts recognized in accumulated other comprehensive loss before the effect of income taxes:      
Unrecognized net actuarial loss 0.3 1.3  
Unrecognized prior service cost (credit) 0 0  
Accumulated other comprehensive loss $ 0.3 $ 1.3