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Income Taxes (Schedule of changes in total gross unrecognized tax benefit liabilities, excluding accrued interest) (Details) - USD ($)
$ in Millions
12 Months Ended
May 29, 2016
May 31, 2015
Income Tax Uncertainties [Abstract]    
Balance, beginning of year $ 161.1 $ 150.9
Current year additions 31.6 34.8
Prior years additions 23.9 17.4
Prior years reductions (25.7) (21.8)
Prior years settlements (4.0) (12.0)
Lapses in statutes of limitations (10.4) (8.2)
Balance, end of year $ 176.5 $ 161.1