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Earnings per Share and Stock Plans - Stock Option Information (Details) - $ / shares
12 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Assumptions:        
Risk-free interest rate 4.28% 2.53% 0.35%  
Dividend yield 0.77% 0.81% 0.44%  
Volatility factor 33.60% 33.00% 37.20%  
Expected life 5 years 6 months 5 years 6 months 5 years 6 months  
Stock Options        
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]        
Stock options outstanding (in shares) 1,193,840 975,171 679,785 657,814
Weighted-average exercise price (in dollars per share) $ 35.37 $ 34.54 $ 33.82 $ 27.45
Weighted-average Remaining Contractual Life 6 years 11 months 4 days 7 years 1 month 17 days 7 years 29 days 7 years 3 months 14 days
Stock options exercisable (in shares) 600,072      
Weighted- average exercise price per share (in dollars per share) $ 33.47      
Stock Options | $10.01 to 20.00        
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]        
Stock options outstanding (in shares) 51,957      
Weighted-average exercise price (in dollars per share) $ 15.16      
Weighted-average Remaining Contractual Life 2 years 1 month 24 days      
Stock options exercisable (in shares) 51,957      
Weighted- average exercise price per share (in dollars per share) $ 15.16      
Stock Options | $20.01 to 30.00        
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]        
Stock options outstanding (in shares) 219,998      
Weighted-average exercise price (in dollars per share) $ 26.60      
Weighted-average Remaining Contractual Life 5 years 2 months 8 days      
Stock options exercisable (in shares) 219,998      
Weighted- average exercise price per share (in dollars per share) $ 26.60      
Stock Options | $30.01 to $40.00        
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]        
Stock options outstanding (in shares) 700,333      
Weighted-average exercise price (in dollars per share) $ 35.05      
Weighted-average Remaining Contractual Life 7 years 9 months      
Stock options exercisable (in shares) 227,117      
Weighted- average exercise price per share (in dollars per share) $ 35.16      
Stock Options | $40.01 to $50.00        
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]        
Stock options outstanding (in shares) 82,181      
Weighted-average exercise price (in dollars per share) $ 42.77      
Weighted-average Remaining Contractual Life 7 years 11 months 8 days      
Stock options exercisable (in shares) 4,244      
Weighted- average exercise price per share (in dollars per share) $ 49.36      
Stock Options | $50.01 to $60.00        
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]        
Stock options outstanding (in shares) 139,371      
Weighted-average exercise price (in dollars per share) $ 54.26      
Weighted-average Remaining Contractual Life 6 years 8 months 19 days      
Stock options exercisable (in shares) 96,756      
Weighted- average exercise price per share (in dollars per share) $ 54.26