Derivative Instruments - Effects of Cash Flow Hedges Included in Statements of Income (Detail) - USD ($) $ in Millions	3 Months Ended
	Nov. 30, 2022	Nov. 30, 2021
Derivative [Line Items]
Revenue	$ 766.5	$ 550.7
Cost of revenue	697.0	503.1
Interest and foreign exchange	19.6	12.6
Sales
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	(0.4)	(0.2)
Cost of Sales
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	0.2
Interest and Foreign Exchange
Derivative [Line Items]
Amount of gain (loss) on cash flow hedge activity	$ (1.0)	$ (1.3)