Revenue Recognition (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	May 30, 2020	Feb. 29, 2020	Nov. 30, 2019	Aug. 31, 2019	Jun. 01, 2019	Mar. 02, 2019	Dec. 01, 2018	Sep. 01, 2018	May 30, 2020	Jun. 01, 2019	Jun. 02, 2018
Disaggregation of Revenue [Line Items]
Delivery costs									$ 52,200	$ 53,600	$ 53,200
Net sales	$ 453,333	$ 345,588	$ 311,522	$ 241,166	$ 280,572	$ 383,993	$ 356,040	$ 340,583	$ 1,351,609	$ 1,361,188	$ 1,502,932
Two Affiliated Customers | Sales Revenue, Net
Disaggregation of Revenue [Line Items]
Concentration Risk, Percentage									32.10%	33.70%	33.20%
H-E-B, LP | Sales Revenue, Net
Disaggregation of Revenue [Line Items]
Concentration Risk, Percentage									10.10%
Conventional shell egg sales
Disaggregation of Revenue [Line Items]
Net sales	311,380				150,860				$ 830,278	$ 810,306
Specialty shell egg sales
Disaggregation of Revenue [Line Items]
Net sales	133,347				119,892				485,465	504,169
Egg products
Disaggregation of Revenue [Line Items]
Net sales	7,204				8,852				31,414	41,508
Other
Disaggregation of Revenue [Line Items]
Net sales	$ 1,402				$ 968				$ 4,452	$ 5,205