Consolidated Statements of Stockholders' Equity - USD ($) shares in Thousands, $ in Thousands	Total	Treasury Stock	Paid In Capital	Retained Earnings	Accumulated Other Comprehensive Income (Loss)	Noncontrolling Interest	Common Stock	Class A Convertible Common Stock
Balance at Jun. 03, 2017	$ 844,493	$ (23,914)	$ 49,932	$ 816,046	$ (128)	$ 1,806	$ 703	$ 48
Balance (in shares) at Jun. 03, 2017		26,484					70,261	4,800
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Restricted stock grant, net of forfeitures	0	$ 76	(76)
Issuance of restricted stock from treasury, net of forfeitures (in shares)		(80)
Purchase of company stock - shares withheld to satisfy withholding obligation in connection with the vesting of restricted stock	(1,128)	$ (1,128)
Purchase of company stock - shares withheld to satisfy withholding obligation in connection with the vesting of restricted stock (in shares)		26
Restricted stock compensation expense	3,467		3,467
Reclassification of stranded tax effects from change in tax rates	0			33	(33)
Contribution from noncontrolling interest partners	279					279
Dividends	(17,093)			(17,093)
Net income	126,196			125,932		264
Other comprehensive income (loss), net of tax	(532)				(532)
Balance at Jun. 02, 2018	955,682	$ (24,966)	53,323	924,918	(693)	2,349	$ 703	$ 48
Balance (in shares) at Jun. 02, 2018		26,430					70,261	4,800
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Restricted stock grant, net of forfeitures	0	$ 85	(85)
Issuance of restricted stock from treasury, net of forfeitures (in shares)		(87)
Purchase of company stock - shares withheld to satisfy withholding obligation in connection with the vesting of restricted stock	(985)	$ (985)
Purchase of company stock - shares withheld to satisfy withholding obligation in connection with the vesting of restricted stock (in shares)		23
Restricted stock compensation expense	3,619		3,619
Dividends	(24,620)			(24,620)
Net income	55,062			54,229		833
Other comprehensive income (loss), net of tax	1,048				1,048
Balance at Jun. 01, 2019	989,806	$ (25,866)	56,857	954,527	355	3,182	$ 703	$ 48
Balance (in shares) at Jun. 01, 2019		26,366					70,261	4,800
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Restricted stock grant, net of forfeitures	0	$ 102	(102)
Purchase of company stock - shares withheld to satisfy withholding obligation in connection with the vesting of restricted stock	(910)	(910)
Restricted stock compensation expense	3,617		3,617
Distributions to noncontrolling interest partners	(755)
Acquisition of noncontrolling interest in Texas Egg Products, LLC	(135)			2,229		(2,364)
Dividends	0
Net income	18,328			18,391		(63)
Other comprehensive income (loss), net of tax	(276)				(276)
Balance at May. 30, 2020	$ 1,009,675	$ (26,674)	$ 60,372	$ 975,147	$ 79	$ 0	$ 703	$ 48
Balance (in shares) at May. 30, 2020		26,366					70,261	4,800