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Description of Business and Summary of Significant Accounting Policies (Property, Plant and Equipment, net) (Details)
12 Months Ended
Aug. 31, 2021
Buildings  
Property, Plant and Equipment [Line Items]  
Estimated Useful Life 35 years
Machinery and equipment | Minimum  
Property, Plant and Equipment [Line Items]  
Estimated Useful Life 2 years
Machinery and equipment | Maximum  
Property, Plant and Equipment [Line Items]  
Estimated Useful Life 10 years
Furniture, fixtures and office equipment  
Property, Plant and Equipment [Line Items]  
Estimated Useful Life 5 years
Computer hardware and software | Minimum  
Property, Plant and Equipment [Line Items]  
Estimated Useful Life 3 years
Computer hardware and software | Maximum  
Property, Plant and Equipment [Line Items]  
Estimated Useful Life 7 years
Transportation equipment  
Property, Plant and Equipment [Line Items]  
Estimated Useful Life 3 years