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Income Taxes (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 6 Months Ended
Nov. 27, 2011
Nov. 28, 2010
Nov. 27, 2011
Nov. 28, 2010
May 29, 2011
Income Taxes (Textual) [Abstract]          
Income tax expense from continuing operations $ 87.7 $ 101.4 $ 131.3 $ 168.3  
Effective tax rate from continuing operations 33.00% 34.00% 34.00% 33.00%  
Gross unrecognized tax benefits 52.2   52.2   56.5
Unrecognized tax benefits with uncertainty of timing of deductibility 3.3   3.3   3.3
Unrecognized liabilities for gross interest and penalties 15.9   15.9   14.7
Unrecognized tax benefits that would favorably impact effective tax rate 32.4   32.4   35.7
Estimated decrease in gross unrecognized tax benefits, maximum 7   7    
Estimated decrease in gross unrecognized tax benefits, minimum $ 2   $ 2