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Weighted-Average Assumptions used to Estimate the Fair Values of the Stock Options Granted (Detail) (USD $)
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12 Months Ended | ||
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Dec. 31, 2011
Year
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Dec. 31, 2010
Year
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Dec. 31, 2009
Year
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| Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items] | |||
| Risk-free interest rate | 2.30% | 1.90% | 2.60% |
| Expected volatility | 33.00% | 35.00% | 37.00% |
| Expected life (in years) | 5.9 | 5.4 | 5.8 |
| Dividend yield | 0.00% | 0.00% | 0.00% |
| Weighted-average estimated fair value of options granted during the year | $ 210.07 | $ 216.43 | $ 160.63 |
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- 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. Reference 1: http://www.xbrl.org/2003/role/presentationRef
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- Definition
The period of time an equity-based award is expected to be outstanding. An equity-based award's expected term is generally determined based on, among other factors, the instrument's contractual term and the effects of employees' expected exercise and post-vesting employment termination behavior. Reference 1: http://www.xbrl.org/2003/role/presentationRef
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- Definition
The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period. Reference 1: http://www.xbrl.org/2003/role/presentationRef
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- Definition
The risk-free interest rate assumption that is used in valuing an option on its own shares. Reference 1: http://www.xbrl.org/2003/role/presentationRef
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- Definition
The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology. Reference 1: http://www.xbrl.org/2003/role/presentationRef
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