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Revenue Recognition (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 28, 2023
Feb. 28, 2022
Feb. 28, 2023
Feb. 28, 2022
Revenue from External Customer [Line Items]        
Total Revenues $ 515,085 $ 431,119 $ 1,019,900 $ 855,844
Americas        
Revenue from External Customer [Line Items]        
Total Revenues 331,121 273,659 654,488 540,572
EMEA        
Revenue from External Customer [Line Items]        
Total Revenues 132,508 114,591 263,246 229,594
Asia Pacific        
Revenue from External Customer [Line Items]        
Total Revenues $ 51,456 $ 42,869 $ 102,166 $ 85,678