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	3 Months Ended
Aug. 27, 2017	Aug. 28, 2016
Stock Plans [Abstract]
Net cash proceeds	$ 41.0	$ 63.6
Intrinsic value of options exercised	$ 40.3	$ 114.3

Amount of cash inflow from exercise of stock options granted under share-based compensation arrangement.

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 14
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=98514028&loc=d3e3255-108585

Reference 2: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2A
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=96867065&loc=SL79508275-113901

Name:	us-gaap_ProceedsFromStockOptionsExercised
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration