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Stock-Based Compensation Plans (Stock Option Activity) (Details) - Stock options
12 Months Ended
Aug. 31, 2019
USD ($)
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward]  
Outstanding at beginning of year, Shares | shares 138,510
Options granted, shares | shares 114,635
Outstanding at end of year, Shares | shares 253,145
Vested and expected to vest at end of year, Shares | shares 253,145
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested and Expected to Vest, Outstanding, Weighted Average Remaining Contractual Term 8 years 3 months
Exercisable at end of year, Shares | shares 71,426
Exercisable at end of year, Wtd. Avg. Exercise Price per Share (in dollars per share) | $ / shares $ 33.13
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Roll Forward]  
Outstanding at beginning of year, Wtd. Avg. Exercise Price per Share (in dollars per share) | $ / shares 36.68
Options granted, Wtd. Avg. Exercise Price per Share (in dollars per share) | $ / shares 31.70
Outstanding at end of year, Wtd. Avg. Exercise Price per Share (in dollars per share) | $ / shares $ 34.43
Weighted average remaining contractual life for outstanding options 8 years 3 months
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Exercisable Options, Weighted Average Remaining Contractual Term 7 years 5 months
Aggregate intrinsic value of options outstanding | $ $ 350,400
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested and Expected to Vest, Outstanding, Aggregate Intrinsic Value | $ 350,400
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested and Expected to Vest, Exercisable, Aggregate Intrinsic Value | $ $ 260,300
Vested and expected to vest at end of year, Wtd. Avg. Exercise Price per Share (in dollars per share) | $ / shares $ 34.43