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Debt (Schedule of Short-term and Long-term Borrowings) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Debt Instrument [Line Items]    
Total borrowings $ 120,543 $ 146,312
Short-term portion of borrowings (10,800) (39,173)
Total long-term borrowings $ 109,743 107,139
Series A Notes    
Debt Instrument [Line Items]    
Interest rate 3.39%  
Issuance Nov. 15, 2017  
Total borrowings $ 15,600 16,400
Short term portion of long-term debt 800  
Periodic payment amount 400  
Remaining principal payment $ 8,400  
Series B Notes    
Debt Instrument [Line Items]    
Interest rate 2.50%  
Issuance Sep. 30, 2020  
Total borrowings $ 26,000 26,000
Series C Notes    
Debt Instrument [Line Items]    
Interest rate 2.69%  
Issuance Sep. 30, 2020  
Total borrowings $ 26,000 26,000
Credit Agreement - Revolving Credit Facility    
Debt Instrument [Line Items]    
Total borrowings 52,943 $ 77,912
Total long-term borrowings 42,900  
Short term portion of long-term debt $ 10,000