Stock Plans (Schedule of information on stock option activity) (Details) (USD $) In Millions, except Share data, unless otherwise specified	6 Months Ended
Nov. 23, 2014
Options Outstanding (Thousands) [Abstract]
Beginning Balance, Outstanding	44,169,000
Granted	2,253,100
Exercised	(1,850,400)
Forfeited or expired	(21,600)
Ending Balance, Outstanding	44,550,100
Ending Balance, Exercisable	32,407,500
Weighted Average Exercise Price Per Share [Abstract]
Beginning Balance, Outstanding	$ 32.10
Granted	$ 53.70
Exercised	$ 26.16
Forfeited or expired	$ 43.79
Ending Balance, Outstanding	$ 33.44
Ending Balance, Exercisable	$ 29.83
Weighted Average Remaining Contractual Term [Abstract]
Ending Balance, Outstanding	4 years 7 months 17 days
Ending Balance, Exercisable	3 years 4 months 20 days
Aggregate Intrinsic Value [Abstract]
Ending Balance, Outstanding	$ 824.5
Ending Balance, Exercisable	$ 713.5

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Amount of difference between fair value of the underlying shares reserved for issuance and exercise price of vested portions of options outstanding and currently exercisable.

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The number of shares into which fully or partially vested stock options outstanding as of the balance sheet date can be currently converted under the option plan.

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The weighted-average price as of the balance sheet date at which grantees can acquire the shares reserved for issuance on vested portions of options outstanding and currently exercisable under the stock option plan.

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Weighted average remaining contractual term for vested portions of options outstanding and currently exercisable or convertible, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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For presentations that combine terminations, the number of shares under options that were cancelled during the reporting period as a result of occurrence of a terminating event specified in contractual agreements pertaining to the stock option plan or that expired.

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Weighted average price of options that were either forfeited or expired.

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Net number of share options (or share units) granted during the period.

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Amount by which the current fair value of the underlying stock exceeds the exercise price of options outstanding.

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Number of options outstanding, including both vested and non-vested options.

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Weighted average price at which grantees can acquire the shares reserved for issuance under the stock option plan.

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Weighted average remaining contractual term for option awards outstanding, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Weighted average price at which option holders acquired shares when converting their stock options into shares.

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Weighted average per share amount at which grantees can acquire shares of common stock by exercise of options.

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Number of share options (or share units) exercised during the current period.

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