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Basis of Presentation and Summary of Significant Accounting Policies (Details) - USD ($)
May 31, 2023
Aug. 31, 2022
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]    
Total long-term borrowings $ 108,893,000 $ 107,139,000
Level 2 | Senior Notes    
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]    
Fair value of senior notes 61,100,000  
Total long-term borrowings 67,600,000  
Level 2 | Recurring    
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]    
Assets, fair value disclosure 0  
Liabilities, fair value disclosure 0  
Level 2 | Nonrecurring    
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]    
Assets, fair value disclosure 0  
Liabilities, fair value disclosure 0  
Foreign Currency Forward Contracts    
Basis of Presentation and Summary of Significant Accounting Policies [Line Items]    
Foreign currency forward contracts outstanding $ 7,600,000