Income Taxes (Schedule of Variation between the Statutory Federal Rate and the Effective Rate for Continuing Operations) (Details)	12 Months Ended
	Jun. 02, 2015	Jun. 03, 2014	May. 28, 2013
Income Taxes [Abstract]
Statutory U.S. Federal income tax	34.00%	34.00%	34.00%
Tax credits	(15.70%)	(11.60%)	(13.20%)
Domestic Production Activities Deduction (DPAD) refunds received or expected		(10.30%)
State and municipal income taxes - current and deferred (net of federal tax benefit)	3.30%	0.70%	5.10%
Release of valuation allowances of state deferred tax assets		(2.20%)
Other	1.80%	(2.30%)	0.20%
Effective rate	23.40%	8.30%	26.10%