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Goodwill and Other Intangible Assets (Goodwill) (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Goodwill [Roll Forward]    
Beginning of the period $ 343,684 $ 275,451
Acquisitions 57,206 68,269
Currency exchange rate impact 27 (36)
End of the period $ 400,917 $ 343,684