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Acquisitions - Additional Information (Details)
$ in Thousands
3 Months Ended 12 Months Ended
Jun. 02, 2022
USD ($)
Dec. 01, 2021
USD ($)
Jun. 08, 2021
USD ($)
Facility
Jan. 29, 2021
USD ($)
Jan. 04, 2021
USD ($)
Feb. 28, 2022
USD ($)
May 31, 2023
USD ($)
May 31, 2022
USD ($)
May 31, 2021
USD ($)
Business Acquisition [Line Items]                  
Goodwill             $ 414,820 $ 401,469 $ 351,056
Cash consideration for acquired entity, net of cash acquired             56,088 376,713 129,615
Net sales             4,916,392 5,242,219 3,171,429
Operating income (loss)             212,367 329,268 167,473
Incremental cost of goods sold             $ 4,253,080 4,527,403 $ 2,532,351
TWB                  
Business Acquisition [Line Items]                  
Number of laser welding facilities | Facility     3            
Number of blanking facility | Facility     1            
Goodwill     $ 19,500            
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%    
Level 5 Tools, LLC                  
Business Acquisition [Line Items]                  
Purchase price $ 59,472                
Earnout payment 2,000                
Potential earn out payment 25,000                
Goodwill 15,947                
Cash consideration for acquired entity 57,603                
Level 5 Tools, LLC | Earnout Agreement                  
Business Acquisition [Line Items]                  
Purchase price 59,321                
Earnout payment $ 2,000                
Shiloh Industries' U.S. BlankLight                  
Business Acquisition [Line Items]                  
Purchase price     $ 104,506            
Goodwill     $ 24,288            
PTEC Pressure Technology GmbH [Member]                  
Business Acquisition [Line Items]                  
Purchase price         $ 10,784        
Business combination, total intangible assets         9,247        
Goodwill         $ 3,785        
General Tools & Instruments Company LLC                  
Business Acquisition [Line Items]                  
Purchase price       $ 120,388          
Goodwill       34,001          
Cash consideration for acquired entity       120,388          
Acquisition related costs               $ 660  
Goodwill, tax basis       $ 11,052          
Tempel Steel Company                  
Business Acquisition [Line Items]                  
Purchase price   $ 289,306              
Goodwill   35,026              
Cash consideration for acquired entity, net of cash acquired   272,208              
Acquisition related costs   $ 1,924       $ 1,924      
Net sales           278,182      
Operating income (loss)           8,609      
Incremental cost of goods sold           $ 3,820