Goodwill and Other Intangible Assets - Schedule of Changes in Goodwill Allocated to Reportable Segments (Details) - USD ($) $ in Millions	3 Months Ended	6 Months Ended
	Feb. 28, 2025	Feb. 28, 2025
Goodwill [Roll Forward]
Beginning balance		$ 661
Acquisitions and adjustments	$ 149
Change in foreign currency exchange rates	(8)
Ending balance	802	802
Pharmaceutics International, Inc
Goodwill [Roll Forward]
Acquisitions and adjustments		132
Mikros Technologies LLC
Goodwill [Roll Forward]
Acquisitions and adjustments		17
Regulated Industries
Goodwill [Roll Forward]
Beginning balance		490
Acquisitions and adjustments	132
Change in foreign currency exchange rates	(7)
Ending balance	615	615
Intelligent Infrastructure
Goodwill [Roll Forward]
Beginning balance		69
Acquisitions and adjustments	17
Change in foreign currency exchange rates	0
Ending balance	86	86
Connected Living and Digital Commerce
Goodwill [Roll Forward]
Beginning balance		102
Acquisitions and adjustments	0
Change in foreign currency exchange rates	(1)
Ending balance	$ 101	$ 101