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Basis of Presentation - Depreciation and Amortization (Details) - USD ($) $ in Thousands	3 Months Ended
	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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The aggregate expense recognized in the current period that allocates the cost of tangible assets, intangible assets, or depleting assets to periods that benefit from use of the assets.

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The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets.

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Amount of amortization expense for asset recognized from cost incurred to obtain or fulfill contract with customer.

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