Derivative Instruments - Effects of Cash Flow Hedges Included in Statements of Income (Detail) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Feb. 29, 2024	Feb. 28, 2023	Feb. 29, 2024	Feb. 28, 2023
Derivative [Line Items]
Revenue	$ 862.7	$ 1,122.0	$ 1,671.5	$ 1,888.5
Cost of revenue	740.5	1,005.2	1,428.0	1,702.2
Interest and foreign exchange	24.6	21.6	47.8	41.2
Sales
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	0.8	(0.5)	1.0	(0.9)
Cost of Sales
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity		0.4	(0.1)	0.6
Interest and Foreign Exchange
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	$ 4.2	$ 2.4	$ 8.5	$ 3.4