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Property and Equipment and Capitalized Cloud-Based Software Implementation Costs - Narrative (Details) - USD ($)
3 Months Ended 9 Months Ended
May 31, 2024
May 31, 2023
May 31, 2024
May 31, 2023
Aug. 31, 2023
Capitalized Cloud-Based Asset          
Business Acquisition [Line Items]          
Capitalized computer software, net $ 12,400,000   $ 12,400,000   $ 11,000,000
Capitalized computer software, accumulated amortization 1,400,000   1,400,000   $ 700,000
Capitalized computer software, amortization $ 0 $ 0 $ 600,000 $ 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