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Stock-Based Compensation - Options (Details) (Stock options plans [Member], USD $)
In Millions, except Share data, unless otherwise specified
 12 Months Ended
Jun. 01, 2013
Jun. 02, 2012
May 28, 2011
May 29, 2010
Stock options plans [Member]
        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Available for Grant 2,600,000      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]        
Outstanding, Beginning balance (in shares) 2,329,249 2,578,590 2,778,636  
Granted at market (in shares) 499,870 365,141 463,238  
Exercised (in shares) (297,255) (215,524) (309,251)  
Forfeited or expired (in shares) (120,490) (398,958) (354,033)  
Outstanding, Ending balance (in shares) 2,411,374 2,329,249 2,578,590 2,778,636
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Roll Forward]        
Outstanding, Beginning balance, Weighted-Average Exercise Prices (in dollars per share) $ 25.06 $ 24.62 $ 25.66  
Granted at market, Weighted-Average Exercise Prices (in dollars per share) $ 18.17 $ 25.75 $ 18.04  
Exercised, Weighted-Average Exercise Prices (in dollars per share) $ 17.49 $ 19.74 $ 21.28  
Forfeited or expired, Weighted-Average Exercise Prices (in dollars per share) $ 24.56 $ 25.76 $ 27.09  
Outstanding, Ending balance, Weighted-Average Exercise Prices (in dollars per share) $ 24.59 $ 25.06 $ 24.62 $ 25.66
Outstanding, Beginning balance, Weighted-Average Remaining Contractual Term (in years) 5 years 8 months 12 days 5 years 8 months 12 days 5 years 6 months 4 years 9 months 15 days
Outstanding, Ending balance, Weighted-Average Remaining Contractual Term (in years) 5 years 8 months 12 days 5 years 8 months 12 days 5 years 6 months 4 years 9 months 15 days
Outstanding, Beginning balance, Aggregate Intrinsic Value (in dollars) $ 0.9 $ 6.6 $ 1.8  
Outstanding, Ending balance, Aggregate Intrinsic Value (in dollars) 11.2 0.9 6.6 1.8
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested and Expected to Vest [Abstract]        
Ending vested and expected to vest (in shares) 2,388,393      
Ending vested and expected to vest, Weighted-Average Exercise Prices (in dollars per shares) $ 24.63      
Ending vested and expected to vest, Weighted-Average Remaining Contractual Term (in years) 5 years 8 months 12 days      
Ending vested and expected to vest, Aggregate Intrinsic Value (in dollars) 11.0      
Exercisable at end of period (in shares) 1,558,766      
Exercisable at end of period, Weighted-Average Exercise Prices (in dollars per share) $ 26.99      
Exercisable at end of period, Weighted-Average Remaining Contractual Term (in years) 4 years 2 months 12 days      
Exercisable at end of period, Aggregrate Intrinsic Value (in dollars) 4.5      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Total Intrinsic Value $ 2.0 $ 1.1 $ 1.6