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Accumulated Other Comprehensive Loss - Schedule of Reclassified Out of Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
 12 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Mar. 31, 2022
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Other nonoperating income (expense) $ (7,597) $ 2,072 $ 1,122
Cost of products sold 638,702 594,141 590,825
Foreign currency translation (1,826) 2,189 (1,574)
Income before income tax expense 61,527 74,475 38,446
Income tax expense (14,902) (26,046) (8,786)
Net income 46,625 48,429 $ 29,660
Net pension amount unrecognized | Amount reclassified from AOCL      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Other nonoperating income (expense) 5,344 652  
Income before income tax expense 5,344 652  
Income tax expense (1,261) (164)  
Net income 4,083 488  
Change in derivatives qualifying as hedges | Amount reclassified from AOCL      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Cost of products sold 38 267  
Interest and debt expense (12,861) (3,144)  
Foreign currency translation (663) (3,096)  
Income before income tax expense (13,486) (5,973)  
Income tax expense 3,274 1,474  
Net income $ (10,212) $ (4,499)