Investments in Unconsolidated Affiliates - Schedule of Combined Financial Information for Unconsolidated Affiliates (Detail) - USD ($) $ in Thousands	3 Months Ended				6 Months Ended
	Nov. 30, 2022	Aug. 31, 2022	Nov. 30, 2021	Aug. 31, 2021	Nov. 30, 2022	Nov. 30, 2021	May 31, 2022
Investments in and Advances to Affiliates [Line Items]
Cash and cash equivalents	$ 129,596				$ 129,596		$ 34,485
Total assets	3,390,660				3,390,660		3,643,023
Current liabilities	660,891				660,891		932,261
Short-term borrowings	4,935				4,935		47,997
Current maturities of long-term debt	257				257		265
Long-term debt	693,453				693,453		696,345
Other noncurrent liabilities	115,688				115,688		115,991
Equity	1,513,393				1,513,393		1,480,752
Total liabilities and equity	3,390,660				3,390,660		3,643,023
Net sales	1,175,541		$ 1,232,861		2,584,206	$ 2,343,679
Gross margin	105,763		184,591		275,137	403,965
Operating income	(7,014)		90,465		59,700	226,262
Depreciation and amortization	28,354		21,090		56,355	43,154
Income tax expense	4,131		31,226		23,629	71,376
Net earnings	19,505	$ 65,244	113,185	$ 141,475	84,749	254,660
Equity Method Investment, Nonconsolidated Investee, Other
Investments in and Advances to Affiliates [Line Items]
Cash and cash equivalents	41,768				41,768		68,563
Other current assets	911,881				911,881		1,148,029
Noncurrent assets	301,027				301,027		369,608
Total assets	1,254,676				1,254,676		1,586,200
Current liabilities	292,303				292,303		345,097
Short-term borrowings	10,000				10,000		5,943
Current maturities of long-term debt	36,110				36,110		33,054
Long-term debt	304,108				304,108		306,814
Other noncurrent liabilities	69,667				69,667		76,437
Equity	542,488				542,488		818,855
Total liabilities and equity	1,254,676				1,254,676		$ 1,586,200
Net sales	711,665		858,165		1,535,607	1,603,160
Gross margin	147,299		226,502		328,704	416,176
Operating income	107,356		184,779		245,183	330,767
Depreciation and amortization	6,864		7,848		15,052	16,075
Interest expense	3,910		2,711		6,590	5,172
Income tax expense	1,262		8,565		3,372	16,461
Net earnings	$ 105,183		$ 173,915		$ 238,421	$ 312,803