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Income Taxes - Effective Income Tax Rate Reconciliation (Details) | 3 Months Ended | 9 Months Ended
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May 31, 2024 | May 31, 2024
Income Tax Disclosure [Abstract] |  |
Higher tax rates in certain foreign jurisdictions from period to period | 1.70% | 1.50%
A non-recurring charitable donation made in the first quarter of fiscal year 2023 |  | 1.20%
Lower shortfalls from the settlements of stock-based equity awards in fiscal year 2024 |  | (0.80%)
An increase in benefit from the high tax exception associated with global intangible low-taxed income | (1.10%) | (0.70%)

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