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Shares and Preferred Shares (Notes)
 6 Months Ended
Sep. 30, 2020
Earnings Per Share [Abstract]  
Earnings Per Share Shares and Preferred Shares
Ordinary shares
We calculate basic earnings per share based upon the weighted average number of shares outstanding. We calculate diluted earnings per share based upon the weighted average number of shares outstanding plus the dilutive effect of share equivalents calculated using the treasury stock method.
The following is a summary of shares and share equivalents outstanding used in the calculations of basic and diluted earnings per share:
 Three Months Ended September 30, Six Months Ended September 30,
Denominator (shares in thousands):2020201920202019
Weighted average shares outstanding—basic85,170 84,795 85,065 84,716 
Dilutive effect of share equivalents674 900 695 914 
Weighted average shares outstanding and share equivalents—diluted85,844 85,695 85,760 85,630 
Options to purchase the following number of shares were outstanding but excluded from the computation of diluted earnings per share because the combined exercise prices, unamortized fair values, and assumed tax benefits upon exercise were greater than the average market price for the shares during the periods, so including these options would be anti-dilutive:
 Three Months Ended September 30, Six Months Ended September 30,
(shares in thousands)2020201920202019
Number of share options503 341 416 231 
Additional Authorized Shares
 The Company has an additional authorized share capital of 50,000,000 preferred shares of $0.001 par value each, plus 25,000 deferred ordinary shares of €1.00 par value each, in order to satisfy minimum statutory capital requirements for all Irish public limited companies.