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Equity (Schedule of Statement of Stockholders' Equity Activities, Including Noncontrolling Interest) (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Feb. 27, 2021
Feb. 29, 2020
Feb. 27, 2021
Feb. 29, 2020
Schedule of Stockholders Equity [Line Items]        
Beginning balance $ 1,004,710 $ 934,293 $ 1,009,675 $ 989,806
Other comprehensive income (loss), net of tax (286) (29) (214) (653)
Purchase of company stock (826) (889) (871) (910)
Distributions to noncontrolling interest partners       (755)
Restricted stock compensation 964 886 2,789 2,680
Contributions     5  
Dividends (1,661)   (1,661)  
Net income (loss) 13,548 13,771 6,304 (42,136)
Ending balance 1,016,449 948,032 1,016,449 948,032
Adjustment [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance     422  
Cumulative Effect Period Of Adoption Adjusted Balance [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance     1,010,097  
Treasury Stock [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance (26,723) (25,888) (26,674) (25,866)
Restricted stock forfeitures   103 (4) 102
Purchase of company stock (826) (889) (871) (910)
Ending balance (27,549) (26,674) (27,549) (26,674)
Treasury Stock [Member] | Cumulative Effect Period Of Adoption Adjusted Balance [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance     (26,674)  
Paid In Capital [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance 62,206 58,652 60,372 56,857
Restricted stock forfeitures   (103) 4 (102)
Restricted stock compensation 964 886 2,789 2,680
Contributions     5  
Ending balance 63,170 59,435 63,170 59,435
Paid In Capital [Member] | Cumulative Effect Period Of Adoption Adjusted Balance [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance     60,372  
Accumulated Other Comprehensive Loss [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance 151 (269) 79 355
Other comprehensive income (loss), net of tax (286) (29) (214) (653)
Ending balance (135) (298) (135) (298)
Accumulated Other Comprehensive Loss [Member] | Cumulative Effect Period Of Adoption Adjusted Balance [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance     79  
Retained Earnings [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance 968,325 900,485 975,147 954,527
Reclass of equity portion of Texas Egg Products, LLC in connection with acquisition       1,779
Dividends (1,661)   (1,661)  
Net income (loss) 13,548 13,749 6,304 (42,072)
Ending balance 980,212 914,234 980,212 914,234
Retained Earnings [Member] | Adjustment [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance     422  
Retained Earnings [Member] | Cumulative Effect Period Of Adoption Adjusted Balance [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance     975,569  
Noncontrolling Interests [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance   562   3,182
Distributions to noncontrolling interest partners       (755)
Reclass of equity portion of Texas Egg Products, LLC in connection with acquisition       (1,779)
Net income (loss)   22   (64)
Ending balance   584   584
Common Stock [Member] | Common Stock [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance 703 703 703 703
Ending balance 703 703 703 703
Common Stock [Member] | Common Stock [Member] | Cumulative Effect Period Of Adoption Adjusted Balance [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance     703  
Class A Common Stock [Member] | Common Stock [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance 48 48 48 48
Ending balance $ 48 $ 48 48 $ 48
Class A Common Stock [Member] | Common Stock [Member] | Cumulative Effect Period Of Adoption Adjusted Balance [Member]        
Schedule of Stockholders Equity [Line Items]        
Beginning balance     $ 48