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Employee Benefit Plans (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Aug. 31, 2019
Employee Benefit Plans [Abstract]      
Maximum percent of gross wages employees may contribute 75.00%    
Matching contributions $ 2.5 $ 2.3 $ 2.2
Value of shares of common stock owned by remaining plan participants in deferred compensation plan $ 0.1 $ 0.1