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Inventories (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Inventory Disclosure [Abstract]      
Raw materials $ 142,490 $ 129,015  
Work-in-process 26,323 28,093  
Finished goods 39,714 36,661  
Inventory, Gross 208,527 193,769  
LIFO cost less than FIFO cost (29,168) (21,630)  
Net inventories 179,359 172,139  
Business Acquisition [Line Items]      
Increase (Decrease) in Inventories $ 9,087 $ 40,201 $ (20,659)