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Property and Equipment and Capitalized Cloud Computing Implementation Costs - Narrative (Details) - Capitalized Cloud-Based Asset - USD ($) $ in Millions | 3 Months Ended |
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Nov. 30, 2024 | Nov. 30, 2023 | Aug. 31, 2024
Business Acquisition [Line Items] |  |  |
Capitalized computer software, net | $ 13.7 |  | $ 13.4
Capitalized computer software, accumulated amortization | 2.5 |  | $ 2.1
Capitalized computer software, amortization | $ 0.4 | $ 0.0 |

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