Segment Information - Reconciliation of Earnings (Loss) from Operations to Earnings Before Income Tax and Earnings from Unconsolidated Affiliates (Detail) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	May 31, 2024	May 31, 2023	May 31, 2024	May 31, 2023
Segment Reporting [Abstract]
Earnings from operations	$ 72.3	$ 50.7	$ 200.7	$ 113.3
Interest and foreign exchange	24.7	22.8	72.5	64.0
Earnings before income tax and earnings from unconsolidated affiliates	$ 47.6	$ 27.9	$ 128.2	$ 49.3