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Stockholders’ Equity - Additional Information (Detail) - USD ($)
 12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Class of Stock [Line Items]      
Preferred stock, shares authorized (in shares) 1,000,000 1,000,000  
Preferred stock, par value (usd per share) $ 0.01 $ 0.01  
Preferred stock, shares issued (in shares) 0 0  
Preferred stock, shares outstanding (in shares) 0 0  
Number of shares of common stock purchased (in shares) 1,996,334 0 581,140
Repurchased common stock value $ 156,366,000   $ 34,561,000
Treasury stock, shares (in shares) 14,762,266 12,799,790  
Shares issued in ESPP (USD per share) $ 62.55 $ 62.55 $ 62.55
Common Stock | Alpha      
Class of Stock [Line Items]      
Shares issued in employee stock purchase plan (in shares) 13,858 13,465 17,410