Restructuring and Other Expense (Income), Net - Schedule of Progression of Liabilities Associated with Restructuring Activities, Combined with Reconciliation to Restructuring and Other Income, Net (Parenthetical) (Detail) - USD ($)							1 Months Ended	3 Months Ended	12 Months Ended
	Sep. 10, 2021	Jun. 10, 2021	Jun. 09, 2021	May 31, 2021	Mar. 12, 2021	Jan. 29, 2021	Oct. 31, 2020	Feb. 28, 2021	May 31, 2022	May 31, 2021	May 31, 2020	Jun. 09, 2022
Restructuring Cost And Reserve [Line Items]
Net (gain) loss on sale of assets									$ 15,794,000	$ (53,345,000)
Restructuring and other income, net									(17,096,000)	56,097,000	$ 10,048,000
Restructuring and other (income) expense, net				$ 11,034,000					(445,000)	$ 2,752,000
LPG Fuel Storage
Restructuring Cost And Reserve [Line Items]
Purchase price				$ 6,000,000
Cryogenics
Restructuring Cost And Reserve [Line Items]
Net cash proceeds							$ 21,275,000
Net proceeds from sale of business							21,275,000
Net (gain) loss on sale of assets							$ 7,064,000
Pressure Cylinders | Oil & gas contracts
Restructuring Cost And Reserve [Line Items]
Restructuring and other (income) expense, net						$ 27,671,000
Pressure Cylinders | Oil & gas contracts | Maximum | Affiliate of Ten Oaks Group
Restructuring Cost And Reserve [Line Items]
Sales proceeds upon the exit of the business by the acquirer, Percent						15.00%
Engineered Cabs
Restructuring Cost And Reserve [Line Items]
Gain from auction of certain assets								$ 181,000
Structural Composites Industries, LLC
Restructuring Cost And Reserve [Line Items]
Net cash proceeds					$ 19,059,000
Net proceeds from sale of business					19,059,000
Restructuring and other (income) expense, net					$ 7,219,000
Fabricated Products Business in Stow, Ohio
Restructuring Cost And Reserve [Line Items]
Operating lease buy out payment	$ 1,100,000
Operating lease buyout pretax gain		$ 857,000
WSP Joint Venture
Restructuring Cost And Reserve [Line Items]
Net cash proceeds			$ 19,850,000
Pre-tax gain on sale of joint venture facility			12,244,000
Net assets previously classified as held for sale												$ 7,606,000
Net proceeds from sale of business			$ 19,850,000
Wooster and Bremen, Ohio
Restructuring Cost And Reserve [Line Items]
Net cash proceeds									8,723,000
Pre-tax gain on sale of joint venture facility									860,000
Net assets previously classified as held for sale									7,863,000
Net proceeds from sale of business									8,723,000
Decatur Alabama Steel Processing Facility
Restructuring Cost And Reserve [Line Items]
Net cash proceeds									4,000,000
Pre-tax gain on sale of joint venture facility									2,634,000
Net assets previously classified as held for sale									1,366,000
Net proceeds from sale of business									$ 4,000,000