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Stock-Based Compensation Plans - Stock Option Activity (Details)
$ / shares in Units, $ in Millions
 12 Months Ended
Aug. 31, 2024
USD ($)
$ / shares
shares
Stock Options  
Outstanding beginning balance (in shares) | shares 388,980
Granted (in shares) | shares 70,299
Exercised (in shares) | shares (8,161)
Forfeited/canceled (in shares) | shares (12,719)
Outstanding ending balance (in shares) | shares 438,399
Exercisable at end of year (in shares) | shares 322,767
Weighted Average Exercise Price Per Share  
Outstanding beginning balance (in dollars per share) | $ / shares $ 46.70
Granted (in dollars per share) | $ / shares 58.68
Exercised (in dollars per share) | $ / shares 31.70
Forfeited/canceled (in dollars per share) | $ / shares 60.00
Outstanding ending balance (in dollars per share) | $ / shares 48.51
Exercisable at end of year (in dollars per share) | $ / shares $ 44.57
Weighted Average Remaining Contractual Term (in years)  
Outstanding 5 years 6 months
Exercisable 4 years 4 months 24 days
Aggregate Intrinsic Value  
Outstanding | $ $ 5.5
Exercisable | $ $ 5.3