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Property and Equipment and Capitalized Cloud-Based Software Implementation Costs - Narrative (Details) - Capitalized Cloud-Based Asset - USD ($)
$ in Millions
3 Months Ended
Nov. 30, 2023
Nov. 30, 2022
Aug. 31, 2023
Business Acquisition [Line Items]      
Capitalized computer software, net $ 12.2   $ 11.0
Capitalized computer software, accumulated amortization 0.8   $ 0.7
Capitalized computer software, amortization $ 0.0 $ 0.0