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Employee Benefit Plans (Details) - USD ($)
$ in Millions
 12 Months Ended
May. 30, 2015
May. 31, 2014
Jun. 01, 2013
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Health Care Cost Trend Rate for Next Fiscal Year 7.10%    
Transfers out to 401(k) plan   $ 0.9  
Defined Benefit Plan, Future Amortization of Gain (Loss) $ 2.9    
Defined Benefit Plan, Assumptions Used in Calculating Net Periodic Benefit Costs, Health Care Cost Trend Rate Assumed for Next Fiscal Year 7.20%    
Defined Benefit Plan, Ultimate Health Care Cost Trend Rate 4.50%    
Pension Contributions $ (1.4) 50.2  
Deferred Compensation Arrangement with Individual, Cash Awards Granted, Maximum Percentage 6.00%    
Defined Contribution Plan, Employer Matching Contribution, Percent of Match 100.00%    
Defined Contribution Plan, Maximum Annual Contributions Per Employee, Percent 3.00%    
Defined Contribution Plan, Core Contribution per Employee, Percent 4.00%    
Defined Contribution Plan, Cost Recognized $ 20.8 20.3 $ 17.0
Domestic      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets 0.0 0.0 290.0
Defined Benefit Plan, Recognized Net Gain (Loss) Due to Settlements 0.0 (158.2) (18.8)
Employer contributions 0.0 48.8  
Transfers out to 401(k) plan 0.0 0.9  
Defined Benefit Plan, Accumulated Benefit Obligation 1.1    
International      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets 92.0 94.8 $ 84.2
Employer contributions 0.6 1.5  
Transfers out to 401(k) plan 0.0 0.0  
Defined Benefit Plan, Accumulated Benefit Obligation 108.9 102.4  
Accumulated Other Comprehensive Loss | Domestic      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Recognized Net Gain (Loss) Due to Settlements   (137.7)  
Estimate of Fair Value Measurement | Domestic      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets 0.0    
Estimate of Fair Value Measurement | International      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets $ 92.0 94.8  
Cost of Sales | Domestic      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Recognized Net Gain (Loss) Due to Settlements   (49.3)  
Operating Expense | Domestic      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Recognized Net Gain (Loss) Due to Settlements   $ (108.9)