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Income Taxes (Narrative) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Income Tax [Line Items]      
Operating loss carryforwards $ 5,300 $ 4,500  
Net deferred tax asset 400 300  
Tax credit carryforwards 3,512 3,911  
Interest and penalties included in income tax expense 300 300  
Unrecognized tax benefits 9,251 $ 9,314 $ 9,352
Unrecognized tax benefits that would impact the effective tax rate 9,100    
Unrecognized tax benefits affected by the resolution of tax examinations or expiring statutes of limitation $ 200    
Provision for income taxes 19.90% 18.80%  
Accrued interest and penalties related to uncertain tax positions $ 1,600 $ 1,200  
Income taxes receivable 5,000 1,900  
Foreign Tax Authority [Member]      
Income Tax [Line Items]      
Tax credit carryforwards $ 3,300 $ 3,700