Acquisitions - Additional Information (Details)					3 Months Ended	12 Months Ended
	Dec. 01, 2021 USD ($)	Jun. 08, 2021 USD ($) Facility	Jan. 29, 2021 USD ($)	Jan. 04, 2021 USD ($)	Feb. 28, 2022 USD ($)	May 31, 2022 USD ($)	May 31, 2021 USD ($)	May 31, 2020 USD ($)	Dec. 31, 2019
Business Acquisition [Line Items]
Goodwill						$ 401,469,000	$ 351,056,000	$ 321,434,000
Cash consideration for acquired entity, net of cash acquired						376,713,000	129,615,000	30,748,000
Net sales						5,242,219,000	3,171,429,000	3,059,119,000
Operating income (loss)						329,268,000	167,473,000	22,489,000
Incremental cost of goods sold						$ 4,527,403,000	$ 2,532,351,000	$ 2,615,782,000
TWB
Business Acquisition [Line Items]
Number of laser welding facilities | Facility		3
Number of blanking facility | Facility		1
Goodwill		$ 19,500,000
TWB
Business Acquisition [Line Items]
Percent of ownership interest held in unconsolidated affiliates		55.00%
TWB | Joint Venture Transactions
Business Acquisition [Line Items]
Percent of ownership interest held in unconsolidated affiliates						55.00%
Samuel Joint Venture | Joint Venture Transactions
Business Acquisition [Line Items]
Additional ownership interest acquired in joint venture						31.75%			31.75%
Shiloh Industries' U.S. BlankLight
Business Acquisition [Line Items]
Total consideration for acquired entity		$ 104,506,000
Goodwill		$ 24,288,000
PTEC Pressure Technology GmbH [Member]
Business Acquisition [Line Items]
Total consideration for acquired entity				$ 10,784,000
Business combination, total intangible assets				9,247,000
Goodwill				$ 3,785,000
General Tools & Instruments Company LLC
Business Acquisition [Line Items]
Total consideration for acquired entity			$ 120,388,000
Goodwill			34,001,000
Cash consideration for acquired entity			120,388,000
Acquisition related costs						$ 660,000
Goodwill, tax basis			$ 11,052,000
Tempel Steel Company
Business Acquisition [Line Items]
Total consideration for acquired entity	$ 289,306,000
Goodwill	35,827,000
Cash consideration for acquired entity, net of cash acquired	272,208,000
Acquisition related costs	$ 1,924,000				$ 1,924,000
Net sales					278,182,000
Operating income (loss)					8,609,000
Incremental cost of goods sold					$ 3,820,000