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Employee Benefit Plans - Actuarial Assumptions (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Jun. 01, 2013
Jun. 02, 2012
May 28, 2011
The weighted-average used in the determination of the projected benefit obligations:      
Defined Benefit Plan, Health Care Cost Trend Rate Assumed for Next Fiscal Year 7.40% 7.50%  
Defined Benefit Plan, Ultimate Health Care Cost Trend Rate 4.50% 4.50%  
Defined Benefit Plan, Effect of One-Percentage Point Change in Assumed Health Care Cost Trend Rates [Abstract]      
Effect on total fiscal 2012 service and interest cost components, 1 Percent Increase $ 0    
Effect on total fiscal 2012 service and interest cost components, 1 Percent Decrease 0    
Effect on post-retirement benefit obligation, 1 Percent Increase 0.4    
Effect on post-retirement benefit obligation, 1 Percent Decrease $ (0.4)    
Pension Benefits, Domestic [Member]
     
The weighted-average used in the determination of net periodic benefit cost:      
Discount rate 3.34% 4.75% 4.75%
Compensation increase rate 3.00% 3.00% 3.00%
The weighted-average used in the determination of the projected benefit obligations:      
Discount rate 3.43% 3.57% 5.25%
Compensation increase rate   3.00% 4.50%
Expected return on plan assets 4.20% 7.00% 7.75%
Pension Benefits, Foreign [Member]
     
The weighted-average used in the determination of net periodic benefit cost:      
Discount rate 4.20% 5.40% 5.40%
Compensation increase rate 3.00% 3.50% 3.50%
The weighted-average used in the determination of the projected benefit obligations:      
Discount rate 4.40% 4.20% 5.50%
Compensation increase rate 3.50% 3.00% 4.90%
Expected return on plan assets 6.00% 7.00% 6.80%