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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, 2024	Nov. 30, 2023
Derivative [Line Items]
Revenue	$ 875.9	$ 808.8
Cost of revenue	702.3	687.5
Interest and foreign exchange	23.4	23.2
Sales
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	0.5	0.2
Cost of Sales
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	(0.1)	(0.1)
Interest and Foreign Exchange
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	$ 4.0	$ 4.3

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