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Goodwill and Other Long-Lived Assets - Additional Information (Detail) - USD ($)
3 Months Ended 12 Months Ended
Feb. 28, 2021
May 31, 2023
May 31, 2022
May 31, 2021
Goodwill And Other Intangible Assets [Line Items]        
Goodwill   $ 414,820,000 $ 401,469,000 $ 351,056,000
Amortization expense   $ 18,221,000 14,937,000 12,257,000
Number of plans   two    
Assets held for sale   $ 3,381,000 20,318,000  
Impairment of long-lived assets   2,596,000 3,076,000 13,739,000
Operating lease assets   99,967,000 98,769,000  
Other        
Goodwill And Other Intangible Assets [Line Items]        
Goodwill   0 0  
Impairment charge of long-lived assets       11,810,000
Impairment of goodwill   198,290,000 198,290,000  
Cryogenics        
Goodwill And Other Intangible Assets [Line Items]        
Impairment charge of long-lived assets       3,662,000
Impairment of long-lived assets       4,333,000
Jefferson        
Goodwill And Other Intangible Assets [Line Items]        
Impairment of long-lived assets       1,423,000
Superior Tools        
Goodwill And Other Intangible Assets [Line Items]        
Impairment of long-lived assets       506,000
Building Products        
Goodwill And Other Intangible Assets [Line Items]        
Goodwill [1]   65,213,000 65,408,000 72,273,000
Impairment charge of long-lived assets   484,000   1,423,000
Fixed Assets        
Goodwill And Other Intangible Assets [Line Items]        
Assets held for sale   2,623,000    
Impairment charge of long-lived assets   2,112,000    
Production Equipment Member | Twinsburg | Samuel Joint Ventures Facility        
Goodwill And Other Intangible Assets [Line Items]        
Impairment charge of long-lived assets $ 3,076,000      
Fair Value, Nonrecurring        
Goodwill And Other Intangible Assets [Line Items]        
Fair market value of assets   2,693,000 700,000  
Fair Value, Nonrecurring | Fair Value, Inputs, Level 2        
Goodwill And Other Intangible Assets [Line Items]        
Fair market value of assets   2,693,000 $ 700,000  
Long Lived Assets Held And Used | Jefferson        
Goodwill And Other Intangible Assets [Line Items]        
Carrying value long-lived assets       1,823,000
Long Lived Assets Held And Used | Jefferson | Building Products Facility        
Goodwill And Other Intangible Assets [Line Items]        
Impairment of non cash charge   484,000    
Long Lived Assets Held And Used | Fair Value, Inputs, Level 2 | Cryogenics        
Goodwill And Other Intangible Assets [Line Items]        
Fair market value of assets       9,193,000
Carrying value long-lived assets       13,526,000
Long Lived Assets Held And Used | Fair Value, Nonrecurring        
Goodwill And Other Intangible Assets [Line Items]        
Fair market value of assets [2]   70,000    
Impairment charge of long-lived assets       1,441,000
Fixed asset net book value       7,375,000
Intangible assets with net book value       2,374,000
Long Lived Assets Held And Used | Fair Value, Nonrecurring | Jefferson        
Goodwill And Other Intangible Assets [Line Items]        
Fair market value of assets       400,000
Long Lived Assets Held And Used | Fair Value, Nonrecurring | Fair Value, Inputs, Level 2        
Goodwill And Other Intangible Assets [Line Items]        
Fair market value of assets   $ 70,000 [2]   5,934,000
Long Lived Assets Held And Used | Fair Value, Nonrecurring | Fair Value, Inputs, Level 3        
Goodwill And Other Intangible Assets [Line Items]        
Impairment charge of long-lived assets       $ 2,374,000
Minimum        
Goodwill And Other Intangible Assets [Line Items]        
Definite-lived intangible assets, estimated useful lives   10 years    
Maximum        
Goodwill And Other Intangible Assets [Line Items]        
Definite-lived intangible assets, estimated useful lives   20 years    
[1] In connection with the realignment of the our legacy Pressure Cylinders business, as discussed further in “Note P - Segment Data”, the goodwill of our legacy Pressure Cylinders business unit was allocated to the new reporting units on a relative fair value basis.
[2] Comprised of certain assets associated with a capital project at our Building Products facility in Jefferson, Ohio which were written down to their estimated salvage value of $70. These assets continue to be held and used. Refer to “Note E – Goodwill and Other Long-Lived Assets” for additional information.