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Income Taxes (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
May 31, 2026 | May 31, 2025 | May 31, 2026 | May 31, 2025 | Aug. 31, 2025
Income Tax Disclosure [Abstract] |  |  |  |  |
Effective tax rate | 5.20% | 10.50% | 2.20% | 7.30% |
Unrecognized tax benefits that would impact effective tax rate | $ 105.6 |  | $ 105.6 |  | $ 96.5

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