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Goodwill and Other Intangible Assets - Changes in Goodwill Allocated to Segments (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Goodwill [Roll Forward]    
Beginning balance $ 715 $ 697
Acquisitions and adjustments 7 17
Change in foreign currency exchange rates (18) 1
Ending balance 704 715
EMS    
Goodwill [Roll Forward]    
Beginning balance 74 74
Acquisitions and adjustments 6 0
Change in foreign currency exchange rates (1) 0
Ending balance 79 74
DMS    
Goodwill [Roll Forward]    
Beginning balance 641 623
Acquisitions and adjustments 1 17
Change in foreign currency exchange rates (17) 1
Ending balance $ 625 $ 641