Stock-based Compensation Expense Additional Information (Details) $ / shares in Units, $ in Millions	3 Months Ended
Apr. 30, 2017 USD ($) period $ / shares shares	Apr. 30, 2016 USD ($) $ / shares shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Market capitalization	$ 2,000.0
Restricted Stock Units (RSUs) and Performance Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards vested in period, fair value	$ 76.9	$ 49.1
Awards granted in period \| shares	622,500
Restricted Stock Units (RSUs)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period \| shares	400,000
Allocated share-based compensation expense	$ 50.0	38.8
Acceleration of eligible stock awards	$ 3.2
Performance Stock Unit
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period \| shares	200,000
Allocated share-based compensation expense	$ 10.9	$ 6.3
Acceleration of eligible stock awards	$ 4.6
Award vesting period	3 years
Employee Qualified Stock Purchase Plan 1998 ESP Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Employee stock purchase plan maximum percentage of compensation to purchase shares by eligible participants	15.00%
Employee stock purchase plan minimum percentage of common stock fair value defined to purchase shares by eligible participants	85.00%
Employee stock purchase plan, number of exercise periods \| period	4
Employee stock purchase plan, term of exercise period	6 months
Employee stock purchase plan, term of offering period	24 months
Shares issued under employee stock purchase plans (shares) \| shares	1,100,000	1,200,000
Awards issued, share average price (in usd per share) \| $ / shares	$ 38.34	$ 36.67
Weighted average grant date fair value per share of stock options granted (in dollars per share) \| $ / shares	$ 25.13	$ 17.88
Share-based Compensation Award, Tranche One \| Performance Stock Unit
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
PSU Annual Vesting Percentage	33.33%
Share-based Compensation Award, Tranche Two \| Performance Stock Unit
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
PSU Annual Vesting Percentage	33.33%
Share-based Compensation Award, Tranche Three \| Performance Stock Unit
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
PSU Annual Vesting Percentage	33.33%

Employee Stock Purchase Plan, Maximum Percentage of Compensation to Purchase Shares By Eligible Participants

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Employee Stock Purchase Plan, Minimum Percentage of Common Stock Fair Value Defined to Purchase Shares By Eligible Participants

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Employee Stock Purchase Plan, Number of Exercise Periods

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Employee Stock Purchase Plan, Term of Exercise Period

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Employee Stock Purchase Plan, Term of Offering Period

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Share-based Compensation Arrangement by Share-based Payment Award, Shares Issued, Average Price

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Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Expected Volatility, Market Capitalization

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Represents the expense recognized during the period arising from equity-based compensation arrangements (for example, shares of stock, unit, stock options or other equity instruments) with employees, directors and certain consultants qualifying for treatment as employees.

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Additional share-based compensation cost recognized as a result of an occurrence of an event that accelerates its recognition.

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Period which an employee's right to exercise an award is no longer contingent on satisfaction of either a service condition, market condition or a performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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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).

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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.

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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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The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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Percentage of vesting of share-based compensation awards.

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Number of shares issued during the period as a result of an employee stock purchase plan.

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