Equity Compensation - Assumption Used to Estimate the Fair Value of Stock-Based Awards (Details)	3 Months Ended
Apr. 30, 2021	Apr. 30, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expected dividends (in percentage)	0.00%
Performance Stock Units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Range of expected volatilities (in percentage)	36.90%	50.70%
Expected dividends (in percentage)	0.00%	0.00%
Range of risk-free interest rates (in percentage)	0.10%	0.30%
1998 Employee Qualified Stock Purchase Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expected dividends (in percentage)	0.00%	0.00%
1998 Employee Qualified Stock Purchase Plan \| Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Range of expected volatilities (in percentage)	36.50%	39.40%
Range of expected lives (in years)	6 months	6 months
Range of risk-free interest rates (in percentage)	0.10%	0.30%
1998 Employee Qualified Stock Purchase Plan \| Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Range of expected volatilities (in percentage)	41.80%	45.80%
Range of expected lives (in years)	2 years	2 years
Range of risk-free interest rates (in percentage)	0.20%	0.50%

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.

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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

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- Definition

The risk-free interest rate assumption that is used in valuing an option on its own shares.

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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.

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No definition available.

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- Definition

Expected term of award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ 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)(i)
-URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901

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-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=115993241&loc=d3e301413-122809

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