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Business Segments And Foreign Operations (Net Sales And Long-Lived Assets By Geographical Area) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Aug. 31, 2019
Revenues from External Customers and Long-Lived Assets [Line Items]      
Net sales $ 488,109 $ 408,498 $ 423,350
Long-lived assets [1] 70,145 60,759 45,076
United States [Member]      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Net sales 164,946 164,446 157,904
Long-lived assets [1] 37,204 32,242 24,535
International [Member]      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Net sales 323,163 244,052 265,446
Long-lived assets [1] $ 32,941 $ 28,517 $ 20,541
[1] Includes tangible assets and property and equipment, net, attributed to the geographic location in which such assets are located.