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Basis of Presentation - Depreciation and Amortization (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
May 31, 2025
May 31, 2024
May 31, 2025
May 31, 2024
Organization, Consolidation and Presentation of Financial Statements [Abstract]        
Depreciation $ 138,806 $ 138,132 $ 405,714 $ 406,374
Amortization—Deferred transition 92,563 74,196 257,018 265,552
Amortization—Intangible assets 153,199 133,097 465,575 364,353
Operating lease cost 178,660 172,293 539,055 520,522
Other 5,224 3,587 15,300 14,832
Total depreciation, amortization and other $ 568,452 $ 521,305 $ 1,682,662 $ 1,571,633