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Segment Data - Additional Information (Detail)
12 Months Ended
May 31, 2022
Jointventure
Segment
May 31, 2021
May 31, 2020
Segment Reporting Information [Line Items]      
Number of reportable segments | Segment 4    
Number of joint ventures 9    
Joint Venture Transactions      
Segment Reporting Information [Line Items]      
Number of joint ventures 4    
Pressure Cylinders      
Segment Reporting Information [Line Items]      
Number of reportable segments | Segment 3    
Steel Processing | Sales Revenue, Net | Product Concentration Risk      
Segment Reporting Information [Line Items]      
Concentration risk percentage 75.00% 64.90% 60.80%
Consumer products | Sales Revenue, Net | Product Concentration Risk      
Segment Reporting Information [Line Items]      
Concentration risk percentage 12.10% 16.50% 14.70%
Building Products | Sales Revenue, Net | Product Concentration Risk      
Segment Reporting Information [Line Items]      
Concentration risk percentage 10.30% 12.70% 12.50%
Sustainable Energy Solutions | Sales Revenue, Net | Product Concentration Risk      
Segment Reporting Information [Line Items]      
Concentration risk percentage 2.50% 4.30% 4.00%
Engineered Cabs      
Segment Reporting Information [Line Items]      
Date of disposition Nov. 01, 2019    
Worthington Steel | Steel Processing      
Segment Reporting Information [Line Items]      
Number of joint ventures 4