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Stock-based Compensation Expense Assumption Used to Estimate the Fair Value of Stock-Based Awards (Details) | 3 Months Ended | 6 Months Ended
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Jul. 31, 2017 | Jul. 31, 2017 | Jul. 31, 2016
Performance Stock Unit |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Range of expected volatilities | 31.80% | 31.80% |
Expected dividends | 0.00% | 0.00% | 0.00%
Range of risk-free interest rates | 1.20% |  |
Performance Stock Unit | Minimum |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Range of expected volatilities |  |  | 38.40%
Range of risk-free interest rates |  | 1.00% | 0.60%
Performance Stock Unit | Maximum |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Range of expected volatilities |  |  | 38.60%
Range of risk-free interest rates |  | 1.20% | 0.70%
Employee Qualified Stock Purchase Plan 1998 ESP Plan |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Expected dividends |  | 0.00% | 0.00%
Employee Qualified Stock Purchase Plan 1998 ESP Plan | Minimum |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Range of expected volatilities |  | 31.40% | 35.00%
Range of expected lives (in years) |  | 6 months | 6 months
Range of risk-free interest rates |  | 0.90% | 0.50%
Employee Qualified Stock Purchase Plan 1998 ESP Plan | Maximum |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Range of expected volatilities |  | 33.70% | 40.20%
Range of expected lives (in years) |  | 2 years | 2 years
Range of risk-free interest rates |  | 1.30% | 0.90%

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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://www.xbrl.org/2003/role/presentationRef -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=96867065&loc=d3e5070-113901 + Details
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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. + 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 (f)(2)(ii) -URI http://asc.fasb.org/extlink&oid=96867065&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://www.xbrl.org/2003/role/presentationRef -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=96867065&loc=d3e5070-113901 + Details
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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
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- Definition Expected term of share-based compensation awards, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + 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 (f)(2)(i) -URI http://asc.fasb.org/extlink&oid=96867065&loc=d3e5070-113901 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.D.2) -URI http://asc.fasb.org/extlink&oid=27013229&loc=d3e301413-122809 + Details
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