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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, 2024
Jul. 31, 2023
Jul. 31, 2022
Amount      
Computed "expected" tax benefit $ (21,059,000) $ (6,478,000) $ (7,786,000)
State and local income taxes, net of federal benefit (127,000) 440,000 227,000
Stock-based compensation 1,891,000 692,000 1,049,000
Research and experimentation credits (1,251,000) (2,576,000) (1,484,000)
Foreign-derived intangible income deduction 43,000 (517,000) 0
Revaluation of convertible preferred stock option liability 0 0 (211,000)
Revaluation of warrants (897,000) 0 0
Nondeductible executive compensation 0 1,484,000 2,801,000
PST Divestiture 1,384,000 0 0
Change in valuation allowance 10,177,000 2,834,000 2,009,000
Remeasurement of deferred taxes 0 0 (396,000)
Foreign income taxes (389,000) (269,000) (478,000)
Goodwill impairment 9,549,000 0 0
Other, net 384,000 442,000 246,000
Benefit from income taxes $ (295,000) $ (3,948,000) $ (4,023,000)
Rate      
Computed "expected" tax benefit 21.00% 21.00% 21.00%
State and local income taxes, net of federal benefit 0.10% (1.40%) (0.60%)
Stock-based compensation (1.90%) (2.20%) (2.80%)
Research and experimentation credits 1.20% 8.40% 4.00%
Foreign-derived intangible income deduction 0.00% 1.70% 0.00%
Revaluation of convertible preferred stock option liability 0.00% 0.00% 0.60%
Revaluation of warrants 0.90% 0.00% 0.00%
Nondeductible executive compensation 0.00% (4.80%) (7.60%)
PST Divestiture (1.40%) 0.00% 0.00%
Change in valuation allowance (10.00%) (9.20%) (5.40%)
Remeasurement of deferred taxes 0.00% 0.00% 1.10%
Foreign income taxes 0.40% 0.90% 1.30%
Goodwill impairment (9.50%) 0.00% 0.00%
Other, net (0.50%) (1.60%) (0.70%)
Benefit from income taxes 0.30% 12.80% 10.90%