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Significant Accounting Policies and Significant Recent Accounting Pronouncements - Concentrations (Details) - Geographic Concentration Risk
3 Months Ended 6 Months Ended
Feb. 28, 2026
Feb. 28, 2025
Feb. 28, 2026
Feb. 28, 2025
Revenue from Contract with Customer Benchmark | CANADA        
Concentrations        
Concentration risk, percentage (as a percent) 25.10% 26.00% 28.80% 27.00%
Revenue from Contract with Customer Benchmark | Asia        
Concentrations        
Concentration risk, percentage (as a percent) 48.20% 44.00% 40.60% 42.00%
Revenue from Contract with Customer Benchmark | Non-US        
Concentrations        
Concentration risk, percentage (as a percent) 12.90% 11.00% 13.20% 11.00%
Revenue from Contract with Customer Benchmark | Other        
Concentrations        
Concentration risk, percentage (as a percent) 26.70% 30.00% 30.60% 31.00%
Accounts Receivable | Non-US        
Concentrations        
Concentration risk, percentage (as a percent)     10.90% 11.00%