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CONDENSED CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS' EQUITY - USD ($) shares in Thousands, $ in Thousands | Total | Registered Shares | Additional Paid-in Capital | Treasury Shares | Retained Earnings | Accumulated Other Comprehensive Loss
--- | --- | --- | --- | --- | --- | ---
Beginning of the period at Mar. 31, 2018 | $ 1,050,557 | $ 30,148 | $ 47,234 | $ (165,686) | $ 1,232,316 | $ (93,455)
Beginning of the period (in shares) at Mar. 31, 2018 |  | 173,106 |  | 8,527 |  |
Increase (Decrease) in Shareholders' Equity |  |  |  |  |  |
Total comprehensive income | 210,614 |  |  |  | 215,452 | (4,838)
Purchases of registered shares | (22,454) |  |  | $ (22,454) |  |
Purchase of registered shares (in shares) |  |  |  | 532 |  |
Sales of shares upon exercise of stock options and purchase rights | 10,135 |  | 6,008 | $ 4,127 |  |
Sales of shares upon exercise of stock options and purchase rights (in shares) |  |  |  | (317) |  |
Issuance of shares upon vesting of restricted stock units | (29,111) |  | (48,192) | $ 19,081 |  |
Issuance of shares upon vesting of restricted stock units (in shares) |  |  |  | (1,387) |  |
Share-based compensation | 37,200 |  | 37,200 |  |  |
Cash dividends (in dollars per share) | (113,971) |  |  |  | (113,971) |
End of the period at Dec. 31, 2018 | 1,132,088 | $ 30,148 | 42,250 | $ (164,932) | 1,322,915 | (98,293)
End of the period (in shares) at Dec. 31, 2018 |  | 173,106 |  | 7,355 |  |
Beginning of the period at Sep. 30, 2018 | 1,012,164 | $ 30,148 | 33,160 | $ (163,481) | 1,210,105 | (97,768)
Beginning of the period (in shares) at Sep. 30, 2018 |  | 173,106 |  | 7,384 |  |
Increase (Decrease) in Shareholders' Equity |  |  |  |  |  |
Total comprehensive income | 112,285 |  |  |  | 112,810 | (525)
Purchases of registered shares | (2,553) |  |  | $ (2,553) |  |
Purchase of registered shares (in shares) |  |  |  | 58 |  |
Sales of shares upon exercise of stock options and purchase rights | 128 |  | 57 | $ 71 |  |
Sales of shares upon exercise of stock options and purchase rights (in shares) |  |  |  | (6) |  |
Issuance of shares upon vesting of restricted stock units | (1,731) |  | (2,762) | $ 1,031 |  |
Issuance of shares upon vesting of restricted stock units (in shares) |  |  |  | (81) |  |
Share-based compensation | 11,795 |  | 11,795 |  |  |
End of the period at Dec. 31, 2018 | 1,132,088 | $ 30,148 | 42,250 | $ (164,932) | 1,322,915 | (98,293)
End of the period (in shares) at Dec. 31, 2018 |  | 173,106 |  | 7,355 |  |
Beginning of the period at Mar. 31, 2019 | 1,176,339 | $ 30,148 | 56,655 | $ (169,802) | 1,365,036 | (105,698)
Beginning of the period (in shares) at Mar. 31, 2019 |  | 173,106 |  | 7,244 |  |
Increase (Decrease) in Shareholders' Equity |  |  |  |  |  |
Total comprehensive income | 232,009 |  |  |  | 235,803 | (3,794)
Purchases of registered shares | (15,127) |  |  | $ (15,127) |  |
Purchase of registered shares (in shares) |  |  |  | 389 |  |
Sales of shares upon exercise of stock options and purchase rights | 11,540 |  | 2,607 | $ 8,933 |  |
Sales of shares upon exercise of stock options and purchase rights (in shares) |  |  |  | (604) |  |
Issuance of shares upon vesting of restricted stock units | (23,096) |  | (39,902) | $ 16,806 |  |
Issuance of shares upon vesting of restricted stock units (in shares) |  |  |  | (1,128) |  |
Share-based compensation | 40,308 |  | 40,308 |  |  |
Cash dividends (in dollars per share) | (124,180) |  |  |  | (124,180) |
End of the period at Dec. 31, 2019 | 1,297,793 | $ 30,148 | 59,668 | $ (159,190) | 1,476,659 | (109,492)
End of the period (in shares) at Dec. 31, 2019 |  | 173,106 |  | 5,901 |  |
Beginning of the period at Sep. 30, 2019 | 1,167,537 | $ 30,148 | 50,913 | $ (163,728) | 1,359,134 | (108,930)
Beginning of the period (in shares) at Sep. 30, 2019 |  | 173,106 |  | 6,203 |  |
Increase (Decrease) in Shareholders' Equity |  |  |  |  |  |
Total comprehensive income | 116,963 |  |  |  | 117,525 | (562)
Sales of shares upon exercise of stock options and purchase rights | 1,640 |  | (1,551) | $ 3,191 |  |
Sales of shares upon exercise of stock options and purchase rights (in shares) |  |  |  | (213) |  |
Issuance of shares upon vesting of restricted stock units | (2,188) |  | (3,535) | $ 1,347 |  |
Issuance of shares upon vesting of restricted stock units (in shares) |  |  |  | (89) |  |
Share-based compensation | 13,841 |  | 13,841 |  |  |
End of the period at Dec. 31, 2019 | $ 1,297,793 | $ 30,148 | $ 59,668 | $ (159,190) | $ 1,476,659 | $ (109,492)
End of the period (in shares) at Dec. 31, 2019 |  | 173,106 |  | 5,901 |  |

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