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Business Segments (Revenue by Geographic Area) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Revenues from External Customers and Long-Lived Assets [Line Items]      
Total segment revenues $ 1,127,725 $ 1,086,812 $ 943,365
United States      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Total segment revenues 953,222 910,106 799,038
Rest of world      
Revenues from External Customers and Long-Lived Assets [Line Items]      
Total segment revenues $ 174,503 $ 176,706 $ 144,327