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(Restricted Stock and SARS Information) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Share-based Payment Arrangement [Abstract]      
Intrinsic value of SARS exercised $ 335 $ 909 $ 5,053
Fair value of restricted stock units vested 49,725 62,592 44,010
Tax benefit for stock compensation expense 611 $ 1,122 $ 560
Unrecognized stock-based compensation expense — restricted stock units $ 41,778    
Remaining weighted-average period for restricted stock units expense 1 year 3 months 18 days