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Stock-Based Compensation, Stock Option and Restricted Shares (Details) - USD ($) $ / shares in Units, $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Mar. 31, 2018 | Mar. 31, 2017 | Dec. 31, 2017
2000 Employee Option Plan |  |  |
Stock-Based Compensation |  |  |
Options exercisable period | 10 years |  |
2009 Employee Option Plan |  |  |
Stock-Based Compensation |  |  |
Number of additional stock options that will be granted (in shares) | 0 |  |
Options ratable vesting period | 5 years |  |
Options exercisable period | 10 years |  |
2017 Employee Option Plan |  |  |
Stock-Based Compensation |  |  |
Common Stock reserved for issuance | 30,000,000 |  |
Shares available for the granting of additional stock options | 23,016,700 |  |
Options ratable vesting period | 5 years |  |
Options exercisable period | 10 years |  |
2004 Directors Option Plan |  |  |
Stock-Based Compensation |  |  |
Options exercisable period | 10 years |  |
Stock Options |  |  |
Stock option activity |  |  |
Options outstanding at the beginning of the period (in shares) | 33,222,364 |  |
Options exercised (in shares) | (602,549) |  |
Options forfeited (in shares) | (32,240) |  |
Options outstanding at the end of the period (in shares) | 32,587,575 |  | 33,222,364
Vested and non-vested options expected to vest at the end of the period (in shares) | 30,726,902 |  |
Exercisable at the end of the period (in shares) | 13,086,775 |  |
Weighted Average Exercise Price |  |  |
Weighted average exercise price, options outstanding at the beginning of the period (in dollars per share) | $ 52.27 |  |
Weighted average exercise price, options outstanding at the end of the period (in dollars per share) | 52.58 |  | $ 52.27
Weighted average exercise price, vested and non-vested options expected to vest (in dollars per share) | 51.92 |  |
Weighted average exercise price, exercisable (in dollars per share) | $ 39.76 |  |
Weighted Average Remaining Contractual Term |  |  |
Weighted average remaining contractual term of options outstanding | 6 years 10 months 2 days |  | 7 years 18 days
Weighted average remaining contractual term of options vested options and non-vested expected to vest | 6 years 9 months 4 days |  |
Weighted average remaining contractual term of options exercisable | 5 years 2 months 12 days |  |
Aggregate Intrinsic Value |  |  |
Aggregate intrinsic value of options outstanding | $ 1,093.2 |  | $ 1,180.3
Aggregate intrinsic value of options, vested and non-vested options expected to vest | 1,051.0 |  |
Aggregate intrinsic value of options exercisable | $ 606.8 |  |
Status of the Company's non-vested options and changes during the year |  |  |
Non-vested options at the beginning of the period (in shares) | 19,600,440 |  |
Non-vested options, options vested (in shares) | (67,400) |  |
Non-vested options, options forfeited (in shares) | (32,240) |  |
Non-vested options at the end of the period (in shares) | 19,500,800 |  | 19,600,440
Weighted Average Fair Value at Grant Date |  |  |
Weighted average fair value at the grant date, options outstanding at the beginning of the period (in dollars per share) | $ 8.29 |  |
Weighted average fair value at grant date, options vested (in dollars per share) | 8.13 |  |
Weighted average fair value at grant date, options forfeited (in dollars per share) | 8.56 |  |
Weighted average fair value at the grant date, options outstanding at the end of the period (in dollars per share) | $ 8.29 |  | $ 8.29
Fair Value at Grant Date |  |  |
Total intrinsic value of stock options exercised (in dollars) | $ 34.3 | $ 34.5 |
Total fair value of stock options vested (in dollars) | 0.5 | $ 0.7 |
Total compensation cost related to non-vested options not yet recognized (in dollars) | $ 108.5 |  |
Weighted average expected amortization period | 3 years 1 month 21 days |  |
Restricted Shares | 2012 Directors Restricted Stock Plan |  |  |
Stock-Based Compensation |  |  |
Shares available for the granting of additional stock options | 124,164 |  |
Restricted share activity |  |  |
Restricted shares outstanding at the beginning of the period (in shares) | 12,905 |  |
Restricted shares outstanding at the end of the period (in shares) | 12,905 |  | 12,905
Fair Value at Grant Date |  |  |
Fair value at the grant date, restricted shares outstanding at the beginning of the period (in dollars per share) | $ 73.25 |  |
Fair value at the grant date, restricted shares outstanding at the end of the period (in dollars per share) | $ 73.25 |  | $ 73.25
Weighted Average Remaining Amortization Term (in years) | 1 month 17 days |  | 4 months 13 days
Total compensation cost related to non-vested restricted shares not yet recognized (in dollars) | $ 0.1 |  |
Weighted average expected amortization period | 1 month 17 days |  |

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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://www.xbrl.org/2003/role/presentationRef -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=96867065&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://www.xbrl.org/2003/role/presentationRef -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=96867065&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://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=96867065&loc=d3e5070-113901 + Details
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- Definition The number of shares into which fully or partially vested stock options outstanding as of the balance sheet date can be currently converted under the option plan. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -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=96867065&loc=d3e5070-113901 + Details
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- Definition The number of shares under options that were cancelled during the reporting period as a result of occurrence of a terminating event specified in contractual agreements pertaining to the stock option plan. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iv)(3) -URI http://asc.fasb.org/extlink&oid=96867065&loc=d3e5070-113901 + Details
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