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Income Taxes - Rollforward of Unrecognized Tax Benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]        
Additions attributable to current year tax positions $ 2,027 $ 0 $ 0  
Additions attributable to prior year tax positions 32,569 894 2,810  
Reductions attributable to prior year tax positions (85,513) 0 0  
Unrecognized Tax Benefits, Reduction Resulting from Lapse of Applicable Statute of Limitations (9,821) 0 0  
Unrecognized Tax Benefits $ 65,115 $ 125,853 $ 124,959 $ 122,149