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Employee Benefit Plans (Details) - USD ($)
 12 Months Ended
May 28, 2016
May 30, 2015
May 31, 2014
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Health Care Cost Trend Rate for Next Fiscal Year 7.90%    
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Ultimate Trend Rate 0.043    
Transfers out to 401(k) plan     $ 900,000
Defined Benefit Plan, Future Amortization of Gain (Loss) $ 2,500,000    
Defined Benefit Plan, Assumptions Used in Calculating Net Periodic Benefit Costs, Health Care Cost Trend Rate Assumed for Next Fiscal Year 7.10%    
Defined Benefit Plan, Ultimate Health Care Cost Trend Rate 4.50%    
Pension Contributions $ 1,200,000 $ 1,400,000  
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%    
Cost recognized $ 21,900,000 20,800,000 20,300,000
Domestic      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Interest Cost 0 0 (5,200,000)
Defined Benefit Plan, Fair Value of Plan Assets 0 0 0
Defined Benefit Plan, Recognized Net Gain (Loss) Due to Settlements 0 0 (158,200,000)
Employer contributions 100,000 0 48,800,000
Defined Benefit Plan, Accumulated Benefit Obligation 1,000,000 1,100,000  
International      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Interest Cost (3,800,000) (4,300,000) (4,200,000)
Defined Benefit Plan, Fair Value of Plan Assets 85,000,000 92,000,000 94,800,000
Employer contributions 400,000 600,000  
Defined Benefit Plan, Accumulated Benefit Obligation 100,800,000 108,900,000  
Accumulated Other Comprehensive Loss | Domestic      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Recognized Net Gain (Loss) Due to Settlements     (137,700,000)
Estimate of Fair Value Measurement | Domestic      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets     0
Estimate of Fair Value Measurement | International      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Fair Value of Plan Assets 85,000,000 92,000,000  
Cost of Sales | Domestic      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Recognized Net Gain (Loss) Due to Settlements     (49,300,000)
Operating Expense | Domestic      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Recognized Net Gain (Loss) Due to Settlements     (108,900,000)
Scenario, Forecast | Change in Assumptions for Pension Plans      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Interest Cost 400,000    
Deferred Profit Sharing [Member]      
Defined Benefit Plan Disclosure      
Defined Contribution Plan, Employer Discretionary Contribution Amount $ 10,900,000 $ 4,800,000 $ 6,400,000