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Share-Based Compensation (Stock Based Compensation Information) (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Share-Based Payment Arrangement [Abstract]      
Pre-tax share-based compensation costs charged against income $ 12,405 $ 9,039 $ 8,543
Income tax benefit recognized on compensation costs 1,138 633 1,224
Total fair value of options and RSUs vested during the period 10,352 7,943 6,796
Cash received from the exercise of stock options 7,372 7,040 2,851
Tax benefits realized from tax deductions resulting from RSU issuances and stock option exercises $ 1,500 $ 3,419 $ 1,153