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Basis of Presentation - Depreciation and Amortization (Details) - USD ($) $ in Thousands	3 Months Ended
	Nov. 30, 2022	Nov. 30, 2021
Organization, Consolidation and Presentation of Financial Statements [Abstract]
Depreciation	$ 144,049	$ 138,793
Amortization - Deferred transition	70,440	67,206
Amortization - Intangible assets	109,069	102,542
Operating lease cost	180,502	190,242
Other	2,169	2,082
Total depreciation, amortization and other	$ 506,229	$ 500,865

X

- Definition

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.

+ References

No definition available.

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- Definition

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. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method.

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- Definition

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

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- Definition

The amount of expense recognized in the current period that reflects the allocation of the cost of tangible assets over the assets' useful lives. Includes production and non-production related depreciation.

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Amount of single lease cost, calculated by allocation of remaining cost of lease over remaining lease term. Includes, but is not limited to, single lease cost, after impairment of right-of-use asset, calculated by amortization of remaining right-of-use asset and accretion of lease liability.

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Amount of expense charged against earnings to allocate the cost of tangible and intangible assets over their remaining economic lives, classified as other.

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