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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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- Definition Amount of expense for amortization of capitalized computer software costs. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 985 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org//1943274/2147481283/985-20-50-2 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (b)(1) -SubTopic 20 -Topic 985 -Publisher FASB -URI https://asc.fasb.org//1943274/2147481283/985-20-50-1 + Details
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- Definition 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. + References No definition available. + Details
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