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Derivative Instruments - Effects of Cash Flow Hedges Included in Statements of Income (Detail) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Feb. 28, 2023	Feb. 28, 2022	Feb. 28, 2023	Feb. 28, 2022
Derivative [Line Items]
Revenue	$ 1,122.0	$ 682.8	$ 1,888.5	$ 1,233.5
Cost of revenue	1,005.2	628.0	1,702.2	1,131.1
Interest and foreign exchange	21.6	11.8	41.2	24.4
Sales
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	(0.5)	(0.2)	(0.9)	(0.4)
Cost of Sales
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	0.4		0.6
Interest and Foreign Exchange
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	$ 2.4	$ (1.3)	$ 3.4	$ (2.6)

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