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Derivative Instruments - Effects of Cash Flow Hedges Included in Statements of Income (Detail) - USD ($) $ in Millions	3 Months Ended
	Nov. 30, 2023	Nov. 30, 2022
Derivative [Line Items]
Revenue	$ 808.8	$ 766.5
Cost of revenue	687.5	697.0
Interest and foreign exchange	23.2	19.6
Sales
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	0.2	(0.4)
Cost of Sales
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	(0.1)	0.2
Interest and Foreign Exchange
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	$ 4.3	$ 1.0

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