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Debt - Interest Expense (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 29, 2024
Feb. 28, 2023
Feb. 29, 2024
Feb. 28, 2023
Debt Disclosure [Abstract]        
Interest expense on outstanding debt $ 16,589 $ 16,728 $ 33,318 $ 33,256