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Income Taxes (Schedule of Income Before Income Tax, Domestic and Foreign) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Income Tax [Line Items]      
United States $ 49,871 $ 47,427 $ 40,949
Foreign 35,292 36,681 45,550
Income before income taxes 85,163 84,108 86,499
EMEA      
Income Tax [Line Items]      
Foreign $ 25,600 $ 30,300 $ 38,800