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Goodwill and Other Intangible Assets - Summary of the Changes in the Carrying Value of Goodwill By Reportable Segment (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Goodwill [Line Items]    
Goodwill, Beginning balance $ 521,638  
Goodwill, Ending balance 513,722 $ 521,638
Systems & Support [Member]    
Goodwill [Line Items]    
Goodwill, Beginning balance 521,638 513,527
Effect of exchange rate changes (3,899) 8,111
Goodwill associated with dispositions (4,017)  
Goodwill, Ending balance $ 513,722 $ 521,638