Segment Operations - Financial Information for Reportable Segments (Detail) - USD ($)	3 Months Ended				6 Months Ended
	Nov. 30, 2023	Aug. 31, 2023	Nov. 30, 2022	Aug. 31, 2022	Nov. 30, 2023	Nov. 30, 2022	May 31, 2023
Segment Reporting Information [Line Items]
Net sales	$ 808,000,000		$ 868,400,000		$ 1,713,800,000	$ 1,943,000,000
Impairment of long-lived assets	0	$ 1,400,000	0	$ 300,000
Restructuring and other expense (income), net	0		(4,300,000)		0	(4,200,000)
Miscellaneous income (expense), net	600,000		900,000		1,500,000	1,100,000
Equity income	3,800,000		1,900,000		12,800,000	3,700,000
Adjusted EBIT	(4,600,000)		$ (18,000,000)		74,500,000	$ 23,600,000
Total assets	$ 1,897,400,000				$ 1,897,400,000		$ 1,764,400,000