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Share-Based Compensation (Details) - USD ($) $ / shares in Units, $ in Thousands | 12 Months Ended
--- | ---
Mar. 31, 2019 | Mar. 31, 2018 | Mar. 31, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Item] |  |  |
Remaining shares available for grant | 4,400,306 |  |
Weighted-average assumptions used for options granted: |  |  |
Risk-free interest rate | 2.64% | 2.01% | 1.29%
Expected life of options | 6 years 2 months 12 days | 5 years 8 months 12 days | 5 years 8 months 12 days
Exptected dividend yield of stock | 1.47% | 1.58% | 1.54%
Expected volatility of stock | 19.91% | 22.08% | 22.92%
Estimated forfeiture rate | 2.37% | 2.25% | 1.85%
Summary of share option activity: |  |  |
Number of Options, Outstanding, Beginning of Period | 2,021,662 |  |
Weighted Average Exercise Price, Outstanding, Beginning of Period | $ 58.56 |  |
Number of Options, Granted | 436,121 |  |
Weighted Average Exercise Price, Granted | $ 114.49 |  |
Number of Options, Exercised | (335,358) |  |
Weighted Average Exercise Price, Exercised | $ 40.70 |  |
Number of Options, Forfeited | (17,740) |  |
Weighted Average Exercise Price, Forfeited | $ 79.91 |  |
Number of Options, Outstanding, End of Period | 2,104,685 | 2,021,662 |
Weighted Average Exercise Price, Outstanding, End of Period | $ 72.82 | $ 58.56 |
Average Remaining Contractual Term, Outstanding | 6 years 8 months 12 days |  |
Aggregate Intrinsic Value, Outstanding | $ 116,199 |  |
Number of Options, Exercisable | 1,164,583 |  |
Weighted Average Exercise Price, Exercisable | $ 57.81 |  |
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercisable, Weighted Average Remaining Contractual Term | 5 years 6 months |  |
Aggregate Intrinsic Value, Exercisable | $ 81,780 |  |
Non-vested stock options outstanding expected to vest | 924,224 |  |
Common Stock, Fair Market Value Per Share | $ 128.03 |  |
Total intrinsic value of stock options exercised | $ 25,371 | $ 16,096 | $ 6,454
Net cash proceeds from the exercise of stock options | 13,308 | 11,093 | 4,955
Tax benefit from stock option exercises | $ 8,306 | $ 6,581 | $ 5,058
Weighted average grant date fair value of stock option grants, per share | $ 18.12 | $ 15.51 | $ 13.42
Summary of non-vested restricted share activity: |  |  |
Number of Restricted Shares, Non-vested at Beginning of Period | 35,431 |  |
Number of Restricted Shares, Granted | 22,038 |  |
Number of Restricted Shares, Vested | (23,290) |  |
Number of Restricted Shares, Canceled | (960) |  |
Number of Restricted Shares, Non-vested at End of Period | 33,219 | 35,431 |
Unrecognized compensation cost related to nonvested share-based compensation granted | $ 39,023 |  |
Weighted average period for recognition of unrecognized compensation cost | 2 years 1 month 2 days |  |
Stock Appreciation Rights (SARs) |  |  |
Summary of non-vested restricted share activity: |  |  |
FairValueOfOutstandingStockAppreciationRights | $ 889 | $ 1,437 | $ 1,622
Restricted Stock |  |  |
Summary of non-vested restricted share activity: |  |  |
Number of Restricted Shares, Non-vested at Beginning of Period | 763,201 |  |
Weighted-Average Grant Date Fair Value, Non-vested at Beginning of Period | $ 68.65 |  |
Number of Restricted Shares, Granted | 178,142 |  |
Weighted-Average Grant Date Fair Value, Granted | $ 104.83 |  |
Number of Restricted Shares, Vested | (233,629) |  |
Weighted-Average Grant Date Fair Value, Vested | $ 62.15 |  |
Number of Restricted Shares, Canceled | (31,341) |  |
Weighted-Average Grant Date Fair Value, Canceled | $ 76.98 |  |
Number of Restricted Shares, Non-vested at End of Period | 676,373 | 763,201 |
Weighted-Average Grant Date Fair Value, Non-vested at End of Period | $ 80.86 | $ 68.65 |
Fair Value, Share-based Payment Awards, Other than Options | $ 15,968 |  |

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- Definition The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(1) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(1) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition The number of non-vested equity-based payment instruments, excluding stock (or unit) options, that validly exist and are outstanding as of the balance sheet date. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(i)-(ii) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition The weighted average fair value of nonvested awards on equity-based plans excluding option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, revenue or profit achievement stock award plan) for which the employer is contingently obligated to issue equity instruments or transfer assets to an employee who has not yet satisfied service or performance criteria necessary to gain title to proceeds from the sale of the award or underlying shares or units. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(i)-(ii) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition The number of equity-based payment instruments, excluding stock (or unit) options, that vested during the reporting period. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(2) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition Fair value of share-based awards for which the grantee gained the right by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d)(2) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition The weighted average fair value as of grant date pertaining to an equity-based award plan other than a stock (or unit) option plan for which the grantee gained the right during the reporting period, by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash in accordance with the terms of the arrangement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(2) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition The estimated dividend rate (a percentage of the share price) to be paid (expected dividends) to holders of the underlying shares over the option's term. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2)(iii) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition The risk-free interest rate assumption that is used in valuing an option on its own shares. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2)(iv) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition Weighted average expected volatility rate of share-based compensation awards. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2)(ii) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition The difference between the maximum number of shares (or other type of equity) authorized for issuance under the plan (including the effects of amendments and adjustments), and the sum of: 1) the number of shares (or other type of equity) already issued upon exercise of options or other equity-based awards under the plan; and 2) shares (or other type of equity) reserved for issuance on granting of outstanding awards, net of cancellations and forfeitures, if applicable. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition The weighted-average price as of the balance sheet date at which grantees can acquire the shares reserved for issuance on vested portions of options outstanding and currently exercisable under the stock option plan. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iii) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition Number of options outstanding, including both vested and non-vested options. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(i)-(ii) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition Weighted average price at which grantees can acquire the shares reserved for issuance under the stock option plan. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(i) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition Number of fully vested and expected to vest options outstanding that can be converted into shares under option plan. Includes, but is not limited to, unvested options for which requisite service period has not been rendered but that are expected to vest based on achievement of performance condition, if forfeitures are recognized when they occur. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (e)(1) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition Weighted average price at which grantees could have acquired the underlying shares with respect to stock options that were terminated. + References No definition available. + Details
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