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Basis of Presentation - Depreciation and Amortization (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
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May 31, 2026 | May 31, 2025 | May 31, 2026 | May 31, 2025
Organization, Consolidation and Presentation of Financial Statements [Abstract] |  |  |  |
Depreciation | $ 143,592 | $ 138,806 | $ 429,861 | $ 405,714
Amortization—Deferred transition | 82,902 | 92,563 | 242,925 | 257,018
Amortization—Intangible assets | 164,352 | 153,199 | 488,553 | 465,575
Operating lease cost | 192,080 | 178,660 | 585,821 | 539,055
Other | 1,653 | 5,224 | 4,710 | 15,300
Total depreciation, amortization and other | $ 584,579 | $ 568,452 | $ 1,751,870 | $ 1,682,662

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