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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, 2022
Aug. 31, 2021
Aug. 31, 2020
Revenues from External Customers and Long-Lived Assets [Line Items]      
Net sales $ 518,820 $ 488,109 $ 408,498
Long-lived assets [1] 65,977 70,145 60,759
United States [Member]      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Net sales 176,863 164,946 164,446
Long-lived assets [1] 35,375 37,204 32,242
International [Member]      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Net sales 341,957 323,163 244,052
Long-lived assets [1] $ 30,602 $ 32,941 $ 28,517
[1] Includes tangible assets and property and equipment, net, attributed to the geographic location in which such assets are located.