Supplemental information - Narrative (Details) - USD ($) shares in Millions, $ in Billions	3 Months Ended
	Nov. 30, 2023	Nov. 30, 2022	Aug. 31, 2023
Accounts, Notes, Loans and Financing Receivable [Line Items]
Accumulated depreciation and amortization on property, plant, and equipment	$ 13.1		$ 13.0
Antidilutive securities excluded from EPS calculations (in shares)	16.1	19.3
Incremental Common Shares Attributable to Dilutive Effect of Share-Based Payment Arrangements	3.7	2.6
Related Party | Cencora
Accounts, Notes, Loans and Financing Receivable [Line Items]
Receivables	$ 1.3		1.1
Trade Accounts Receivable
Accounts, Notes, Loans and Financing Receivable [Line Items]
Receivables	$ 4.7		$ 4.3