NET INCOME PER SHARE - Schedule of Earnings Per Share, Basic and Diluted (Details) - USD ($) shares in Thousands, $ in Thousands	3 Months Ended		6 Months Ended
	Jan. 29, 2022	Jan. 23, 2021	Jan. 29, 2022	Jan. 23, 2021
Common Class A
Numerator:
Net income allocated, basic	$ 7,666	$ 3,437	$ 13,204	$ 5,971
Conversion of Class B to Class A shares	2,165	974	3,732	1,692
Net income allocated, diluted	$ 9,831	$ 4,411	$ 16,936	$ 7,663
Denominator:
Weighted average shares outstanding, basic (in shares)	9,873	9,850	9,868	9,850
Conversion of Class B to Class A shares (in shares)	4,294	4,294	4,294	4,294
Weighted average shares outstanding, diluted (in shares)	14,167	14,144	14,162	14,144
Common Class B
Numerator:
Net income allocated, basic	$ 2,165	$ 974	$ 3,732	$ 1,692
Conversion of Class B to Class A shares	0	0	0	0
Net income allocated, diluted	$ 2,165	$ 974	$ 3,732	$ 1,692
Denominator:
Weighted average shares outstanding, basic (in shares)	4,294	4,294	4,294	4,294
Conversion of Class B to Class A shares (in shares)	0	0	0	0
Weighted average shares outstanding, diluted (in shares)	4,294	4,294	4,294	4,294