Employee Benefit Plans (Narrative) (Details) - USD ($)	12 Months Ended
	May 28, 2022	May 29, 2021	May 30, 2020
Defined Benefit Plan Disclosure [Line Items]
Medical claim, maximum per occurrence	$ 225,000
Medical plan expense	24,600,000	$ 21,700,000	$ 17,800,000
Liability recorded for incurred but not reported claims	2,800,000	2,400,000
Postretirement expense liability	$ 2,900,000	3,400,000
KSOP [Member]
Defined Benefit Plan Disclosure [Line Items]
Company matching contribution percentage	3.00%
Company cash contribution	$ 3,900,000	$ 3,800,000	$ 3,800,000
Compare share contribution	0	0	0
Certain Officers [Member]
Defined Benefit Plan Disclosure [Line Items]
Deferred compensation agreement, amount of years required for payment	65 years
Payments made under plan	$ 170,000	$ 170,000	$ 150,000
Liability related to deferred compensation agreements	1,100,000	1,400,000
Officers [Member]
Defined Benefit Plan Disclosure [Line Items]
Payments made under plan	480,000	55,000
Liability related to deferred compensation agreements	4,500,000	4,100,000
Awards issued under deferred compensation plan	340,000	279,000	266,000
Deferred compensation expense	$ 258,000	$ 1,600,000	$ 621,000