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Fair Value Measurements (Narrative) (Details)
€ in Millions
3 Months Ended 6 Months Ended
Feb. 28, 2025
USD ($)
Feb. 29, 2024
USD ($)
Feb. 28, 2025
USD ($)
Feb. 29, 2024
USD ($)
Nov. 30, 2028
EUR (€)
Nov. 30, 2027
USD ($)
Notional amount $ 150,000,000   $ 150,000,000      
Marketable securities maturity period     1 year      
Foreign translation gains (losses) $ 2,600,000 $ 800,000 $ 4,600,000 $ 200,000    
Fair Value, Measurements, Nonrecurring [Member]            
Assets fair value adjustments     0 0    
Liabilities fair value adjustments     $ 0 $ 0    
Forecast [Member]            
Notional amount         € 140.1 $ 150,000,000