Goodwill and Long-Lived Assets - Additional Information (Detail) - USD ($)	3 Months Ended
	Aug. 31, 2021	Aug. 31, 2020	May 31, 2021
Impaired Long Lived Assets Held And Used [Line Items]
Goodwill	$ 375,196,000		$ 351,056,000
Impairment of goodwill and long-lived assets	0	$ 9,924,000
Impairment of long-lived assets	0	9,924,000
Other
Impaired Long Lived Assets Held And Used [Line Items]
Goodwill	0		$ 0
Impairment of goodwill	198,290,000
Impairment of long-lived assets		$ 7,995,000
Cryogenics
Impaired Long Lived Assets Held And Used [Line Items]
Impairment of goodwill and long-lived assets	4,333,000
Impairment of long-lived assets	3,662,000
Cryogenics | Long Lived Assets Held for Sale
Impaired Long Lived Assets Held And Used [Line Items]
Carrying value long-lived assets	13,526,000
Cryogenics | Long Lived Assets Held for Sale | Fair Value, Nonrecurring
Impaired Long Lived Assets Held And Used [Line Items]
Fair market value of assets	9,193,000
Jefferson
Impaired Long Lived Assets Held And Used [Line Items]
Impairment of goodwill and long-lived assets	1,423,000
Jefferson | Long Lived Assets Held And Used
Impaired Long Lived Assets Held And Used [Line Items]
Carrying value long-lived assets	1,823,000
Jefferson | Long Lived Assets Held And Used | Fair Value, Nonrecurring
Impaired Long Lived Assets Held And Used [Line Items]
Fair market value of assets	400,000
Superior Tools
Impaired Long Lived Assets Held And Used [Line Items]
Impairment of goodwill and long-lived assets	$ 506,000