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Summary of Significant Accounting Policies - Estimated Useful Lives (Detail)
 12 Months Ended
Aug. 31, 2022
Property Plant and Equipment Estimated Useful Lives [Line Items]  
Property, Plant and Equipment useful life 40 years
Building and improvements | Minimum  
Property Plant and Equipment Estimated Useful Lives [Line Items]  
Property, Plant and Equipment useful life 10 years
Building and improvements | Maximum  
Property Plant and Equipment Estimated Useful Lives [Line Items]  
Property, Plant and Equipment useful life 30 years
Machinery and Equipment | Minimum  
Property Plant and Equipment Estimated Useful Lives [Line Items]  
Property, Plant and Equipment useful life 3 years
Machinery and Equipment | Maximum  
Property Plant and Equipment Estimated Useful Lives [Line Items]  
Property, Plant and Equipment useful life 20 years
Other | Minimum  
Property Plant and Equipment Estimated Useful Lives [Line Items]  
Property, Plant and Equipment useful life 3 years
Other | Maximum  
Property Plant and Equipment Estimated Useful Lives [Line Items]  
Property, Plant and Equipment useful life 7 years