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Goodwill and Other Intangible Assets - Narrative (Details) - USD ($)	3 Months Ended		6 Months Ended
	Feb. 29, 2024	Feb. 28, 2023	Feb. 29, 2024	Feb. 28, 2023	Dec. 01, 2023	Aug. 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract]
Goodwill, accumulated impairment loss					$ 0
Goodwill, impairment loss			$ 0
Definite lived intangible assets, carrying amount	$ 4,200,000		4,200,000			$ 4,700,000
Amortization of definite-lived intangible assets	$ 252,000	$ 250,000	$ 503,000	$ 503,000

X

- 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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Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Amount of accumulated impairment loss for an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Amount of loss from the write-down of an asset representing the future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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