Derivative Instruments - Effects of Cash Flow Hedges Included in Statements of Income (Detail) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Derivative [Line Items]
Revenue	$ 3,944.0	$ 2,977.7	$ 1,747.9
Cost of revenue	3,502.9	2,671.7	1,516.3
Interest and foreign exchange	85.4	57.4	43.3
Sales
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	(0.2)	(1.5)	(1.3)
Cost of Sales
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	2.2	0.3	(0.1)
Interest and Foreign Exchange
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	$ 10.8	$ (4.9)	$ (5.3)