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Property and Equipment and Capitalized Cloud-Based Software Implementation Costs - Narrative (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Feb. 29, 2024	Feb. 28, 2023	Feb. 29, 2024	Feb. 28, 2023	Aug. 31, 2023
Capitalized Cloud-Based Asset
Business Acquisition [Line Items]
Capitalized computer software, net	$ 12.7		$ 12.7		$ 11.0
Capitalized computer software, accumulated amortization	1.0		1.0		$ 0.7
Capitalized computer software, amortization	$ 0.0	$ 0.0	$ 0.0	$ 0.0
Capitalized Cloud-Based Asset | Minimum
Business Acquisition [Line Items]
Property, plant and equipment, useful life	3 years		3 years
Capitalized Cloud-Based Asset | Maximum
Business Acquisition [Line Items]
Property, plant and equipment, useful life	5 years		5 years
Capitalized Cloud-Based Asset, ERP System Implementation
Business Acquisition [Line Items]
Property, plant and equipment, useful life	5 years		5 years
Capitalized Cloud-Based Asset, ERP System
Business Acquisition [Line Items]
Property, plant and equipment, useful life	10 years		10 years

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 805
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 5
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-Publisher FASB
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For each balance sheet presented, the amount of accumulated amortization for capitalized computer software costs.

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Amount of expense for amortization of capitalized computer software costs.

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The carrying amount of capitalized computer software costs net of accumulated amortization as of the balance sheet date.

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Useful life of long lived, physical assets used in the normal conduct of business and not intended for resale, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. Examples include, but not limited to, land, buildings, machinery and equipment, office equipment, furniture and fixtures, and computer equipment.

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