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Income Taxes - Rollforward of Unrecognized Tax Benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]        
Additions attributable to current year tax positions $ 3,440 $ 2,027 $ 0  
Additions attributable to prior year tax positions 27,994 32,569 894  
Reductions attributable to prior year tax positions 0 (85,513) 0  
Unrecognized Tax Benefits, Reduction Resulting from Lapse of Applicable Statute of Limitations 0 (9,821) 0  
Unrecognized Tax Benefits $ 96,549 $ 65,115 $ 125,853 $ 124,959