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Segment Information (Reconciliation Of Adjusted EBITDA) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Segment Reporting Information [Line Items]      
Consolidated Adjusted EBITDA $ 55,273 $ 48,066 $ 42,197
Stock-based compensation (10,142) (12,520) (8,286)
Increase in contingent consideration liabilities   (7) (68)
Restructuring costs (3,008) (565)  
Impaired asset (928)    
Depreciation (3,905) (4,271) (4,903)
Amortization (4,248) (4,342) (5,266)
Income from operations 33,042 26,361 23,674
Interest income 1,123 1,091 65
Interest expense (1,119) (1,583) (1,675)
Income before income taxes 33,046 25,869 22,064
Income tax provision (9,644) (8,088) (3,634)
Net income 23,402 17,781 18,430
Operating Segments [Member]      
Segment Reporting Information [Line Items]      
Consolidated Adjusted EBITDA 65,545 57,498 50,869
Corporate And Eliminations [Member]      
Segment Reporting Information [Line Items]      
Consolidated Adjusted EBITDA $ (10,272) $ (9,432) $ (8,672)