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Goodwill and Other Intangible Assets (Goodwill) (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Goodwill [Roll Forward]    
Beginning of the period $ 448,175 $ 429,604
Acquisitions 7,976 20,721
Effects of foreign currency translation (1,541) (2,150)
End of the period $ 454,610 $ 448,175