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Share Repurchase Plans (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Sep. 01, 2018
Equity, Class of Treasury Stock [Line Items]        
Total cost of repurchased shares $ 29,625 $ 22,616 $ 31,109  
2018 To 2020 Share Repurchase Program [Member]        
Equity, Class of Treasury Stock [Line Items]        
Share buy-back plan, amount authorized       $ 75,000
Share buy-back plan, number of shares repurchased 175,955      
Average price of shares repurchased $ 168.34      
Total cost of repurchased shares $ 29,600      
Maximum [Member] | 2018 To 2020 Share Repurchase Program [Member]        
Equity, Class of Treasury Stock [Line Items]        
Share buy-back plan, amount authorized       $ 75,000