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Basis of Presentation and Summary of Significant Accounting Policies (Details) - USD ($)
3 Months Ended 6 Months Ended 12 Months Ended
Feb. 28, 2025
Feb. 29, 2024
Feb. 28, 2025
Feb. 29, 2024
Aug. 31, 2024
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Unrealized foreign currency gains (losses)     $ 658,000 $ (245,000)  
Total long-term borrowings $ 84,406,000   84,406,000   $ 85,977,000
Level 2 | Senior Notes          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Fair value of senior notes 61,100,000   61,100,000    
Total long-term borrowings 66,400,000   66,400,000    
Level 2 | Recurring          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Assets, fair value disclosure 0   0    
Liabilities, fair value disclosure 0   0    
Level 2 | Nonrecurring          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Assets, fair value disclosure 0   0    
Liabilities, fair value disclosure 0   0    
Foreign Currency Forward Contracts          
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]          
Foreign currency forward contracts outstanding 4,400,000   4,400,000    
Unrealized foreign currency gains (losses)     0   $ 0
Realized foreign currency gains (losses) $ 0 $ 0 $ 0 $ 0