Income Taxes (Provision for Income Taxes Differed from Amounts Computed by the U.S. Federal Income Tax Rate) (Details) - USD ($)	12 Months Ended
	Jul. 31, 2023	Jul. 31, 2022	Jul. 31, 2021
Amount
Computed "expected" tax benefit	$ (6,478,000)	$ (7,786,000)	$ (15,746,000)
State and local income taxes, net of federal benefit	440,000	227,000	(1,371,000)
Stock-based compensation	692,000	1,049,000	(20,000)
Research and experimentation credits	(2,576,000)	(1,484,000)	(1,018,000)
Foreign-derived intangible income deduction	(517,000)	0	164,000
Revaluation of convertible preferred stock option liability	0	(211,000)	0
Nondeductible transaction costs	0	0	402,000
Nondeductible executive compensation	1,484,000	2,801,000	628,000
Fines and penalties	0	(1,000)	0
Audit settlements	0	18,000	6,000
Change in the beginning of the year valuation allowance for deferred tax assets	0	0	(805,000)
Change in valuation allowance	2,834,000	2,009,000	15,582,000
Remeasurement of deferred taxes	0	(396,000)	(224,000)
Foreign income taxes	(269,000)	(478,000)	676,000
Other, net	442,000	229,000	226,000
Benefit from income taxes	$ (3,948,000)	$ (4,023,000)	$ (1,500,000)
Rate
Computed "expected" tax benefit	21.00%	21.00%	21.00%
State and local income taxes, net of federal benefit	(1.40%)	(0.60%)	1.80%
Stock-based compensation	(2.20%)	(2.80%)	0.00%
Research and experimentation credits	8.40%	4.00%	1.40%
Foreign-derived intangible income deduction	1.70%	0.00%	(0.20%)
Revaluation of convertible preferred stock option liability	0.00%	0.60%	0.00%
Nondeductible transaction costs	0.00%	0.00%	(0.50%)
Nondeductible executive compensation	(4.80%)	(7.60%)	(0.80%)
Fines and penalties	0.00%	0.00%	0.00%
Audit settlements	0.00%	0.00%	0.00%
Change in the beginning of the year valuation allowance for deferred tax assets	0.00%	0.00%	1.10%
Change in valuation allowance	(9.20%)	(5.40%)	(20.80%)
Remeasurement of deferred taxes	0.00%	1.10%	0.30%
Foreign income taxes	0.90%	1.30%	(0.90%)
Other, net	(1.60%)	(0.70%)	(0.40%)
Benefit from income taxes	12.80%	10.90%	2.00%