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Share-Based Compensation (Stock Based Compensation Information) (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Mar. 31, 2022
Share-Based Payment Arrangement [Abstract]      
Pre-tax share-based compensation costs charged against income $ 14,010 $ 12,405 $ 9,039
Income tax benefit recognized on compensation costs 1,190 1,138 633
Total fair value of options and RSUs vested during the period 12,213 10,352 7,943
Cash received from the exercise of stock options 18,089 7,372 7,040
Tax benefits realized from tax deductions resulting from RSU issuances and stock option exercises $ 2,161 $ 1,500 $ 3,419