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Debt - Schedule of Short-term and Long-term Borrowings (Details) - USD ($)
$ in Thousands
 6 Months Ended
Feb. 29, 2024
Aug. 31, 2023
Debt Instrument [Line Items]    
Total borrowings $ 115,684 $ 120,543
Short-term portion of borrowings (29,790) (10,800)
Total long-term borrowings $ 85,894 109,743
Series A Notes    
Debt Instrument [Line Items]    
Interest rate 3.39%  
Issuance Nov. 15, 2017  
Total borrowings $ 15,200 15,600
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 48,484 52,943
Total long-term borrowings 19,500 42,900
Short term portion of long-term debt $ 29,000 $ 10,000