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Goodwill and Other Intangible Assets (Summary of Changes in Carrying Amounts of Goodwill) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Goodwill [Roll Forward]    
Balance, beginning $ 95,180 $ 95,869
Translation adjustments 325 (689)
Balance, ending 95,505 95,180
Americas    
Goodwill [Roll Forward]    
Balance, beginning 85,402 85,476
Translation adjustments 34 (74)
Balance, ending 85,436 85,402
EMEA    
Goodwill [Roll Forward]    
Balance, beginning 8,569 9,184
Translation adjustments 291 (615)
Balance, ending 8,860 8,569
Asia-Pacific    
Goodwill [Roll Forward]    
Balance, beginning 1,209 1,209
Translation adjustments 0 0
Balance, ending $ 1,209 $ 1,209