Summary of Significant Accounting Policies -Schedule of Useful Lives Used for Depreciation and Amortization (Details)	12 Months Ended
	Aug. 31, 2022
Machinery and equipment | Minimum
Property, Plant and Equipment [Line Items]
Property, Plant and Equipment, Useful Life	3 years
Machinery and equipment | Maximum
Property, Plant and Equipment [Line Items]
Property, Plant and Equipment, Useful Life	40 years
Land improvements | Minimum
Property, Plant and Equipment [Line Items]
Property, Plant and Equipment, Useful Life	3 years
Land improvements | Maximum
Property, Plant and Equipment [Line Items]
Property, Plant and Equipment, Useful Life	35 years
Buildings and leasehold improvements | Minimum
Property, Plant and Equipment [Line Items]
Property, Plant and Equipment, Useful Life	5 years
Buildings and leasehold improvements | Maximum
Property, Plant and Equipment [Line Items]
Property, Plant and Equipment, Useful Life	40 years
Enterprise Resource Planning ("ERP") systems | Minimum
Property, Plant and Equipment [Line Items]
Property, Plant and Equipment, Useful Life	6 years
Enterprise Resource Planning ("ERP") systems | Maximum
Property, Plant and Equipment [Line Items]
Property, Plant and Equipment, Useful Life	17 years
Office equipment and other software licenses | Minimum
Property, Plant and Equipment [Line Items]
Property, Plant and Equipment, Useful Life	3 years
Office equipment and other software licenses | Maximum
Property, Plant and Equipment [Line Items]
Property, Plant and Equipment, Useful Life	10 years