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Stock Plans (Schedule of net cash proceeds from the exercise of stock options less shares used for withholding taxes and the intrisic value of options exercised) (Details) (USD $)
In Millions, unless otherwise specified
6 Months Ended
Nov. 23, 2014
Nov. 24, 2013
Stock Plans [Abstract]    
Net cash proceeds $ 35.9us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions $ 27.5us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions
Intrinsic value of options exercised $ 40.1us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue $ 71.0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue