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Goodwill and Other Intangible Assets - Purchased Intangible Assets (Details) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Acquired Intangible Assets by Major Class [Line Items]    
Weighted Average Amortization Period (in years) 12 years  
Gross Carrying Amount $ 629 $ 624
Accumulated Amortization (471) (442)
Net Carrying Amount 158 182
Trade names    
Acquired Intangible Assets by Major Class [Line Items]    
Gross Carrying Amount 51 51
Net Carrying Amount $ 51 51
Contractual agreements and customer relationships    
Acquired Intangible Assets by Major Class [Line Items]    
Weighted Average Amortization Period (in years) 12 years  
Gross Carrying Amount $ 302 304
Accumulated Amortization (231) (217)
Net Carrying Amount $ 71 87
Intellectual property    
Acquired Intangible Assets by Major Class [Line Items]    
Weighted Average Amortization Period (in years) 9 years  
Gross Carrying Amount $ 198 191
Accumulated Amortization (173) (169)
Net Carrying Amount 25 22
Trade names    
Acquired Intangible Assets by Major Class [Line Items]    
Gross Carrying Amount 78 78
Accumulated Amortization (67) (56)
Net Carrying Amount $ 11 $ 22