Employee Benefit Plans (Narrative) (Details) (USD $)	12 Months Ended
	May 31, 2014	Jun. 01, 2013	Jun. 02, 2012
Defined Benefit Plan Disclosure [Line Items]
Medical plan expense	$ 9,800,000	$ 7,400,000	$ 7,300,000
Liability recorded for incurred but not reported claims	700,000	600,000
Company matching contribution percentage			3.00%
Company cash contribution		1,800,000	1,900,000
Deferred compensation expense	425,000	786,000	193,000
Payments made under plan	50,000	50,000	50,000
Liability related to deferred compensation agreements	1,700,000	1,700,000
Postretirement expense liability	683,000	819,000
2006 Plan [Member]
Defined Benefit Plan Disclosure [Line Items]
Awards issued under deferred compensation plan	202,000	156,000	129,000
Payments made under plan	0	106,000
Liability related to deferred compensation agreements	1,500,000	1,000,000
KSOP [Member]
Defined Benefit Plan Disclosure [Line Items]
Company cash contribution	$ 3,000,000