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Subsequent Events (Details)
$ / shares in Units, € in Thousands, $ in Thousands
12 Months Ended
Sep. 01, 2022
USD ($)
Sep. 01, 2020
USD ($)
Sep. 01, 2020
EUR (€)
Aug. 31, 2023
USD ($)
$ / shares
Aug. 31, 2022
USD ($)
$ / shares
Aug. 31, 2021
USD ($)
$ / shares
Subsequent Events            
Payments for acquisitions       $ 249,594   $ 31,238
Annual cash dividends declared per share | $ / shares       $ 1.00 $ 1.00 $ 0.80
Annual cash dividend declared       $ 9,500 $ 9,460 $ 7,557
ABchime            
Subsequent Events            
Payments for acquisitions   $ 22,241 € 18,654 (22,241)    
NuCera Solutions            
Subsequent Events            
Purchase price $ 250,000          
Payments for acquisitions $ 249,594          
Acquisition transaction costs       $ 4,000 29  
Long-term line of credit, noncurrent         $ 180,000