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Basis of Presentation - Depreciation and Amortization (Details) - USD ($) $ in Thousands | 3 Months Ended
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Nov. 30, 2025 | Nov. 30, 2024
Organization, Consolidation and Presentation of Financial Statements [Abstract] |  |
Depreciation | $ 143,583 | $ 133,099
Amortization—Deferred transition | 80,940 | 85,324
Amortization—Intangible assets | 152,447 | 160,214
Operating lease cost | 203,801 | 186,529
Other | 1,020 | 4,174
Total depreciation, amortization and other | $ 581,791 | $ 569,340

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