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

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- Definition

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

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- Definition

Employee Stock Purchase Plan, Number of Exercise Periods

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- Definition

Employee Stock Purchase Plan, Term of Exercise Period

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- Definition

Employee Stock Purchase Plan, Term of Offering Period

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- Definition

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

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No definition available.

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- Definition

Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

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Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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- Definition

Amount of cost to be recognized for option under share-based payment arrangement.

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- Definition

Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition.

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- Definition

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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- Definition

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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- 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.

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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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- Definition

Percentage of vesting of award under share-based payment arrangement.

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Stock-based Compensation Expense (Additional Information) (Details) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 31, 2019 USD ($)	Jul. 31, 2018 USD ($)	Jul. 31, 2019 USD ($) period shares	Jul. 31, 2018 USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Compensation cost related to non-vested stock options	$ 42.3		$ 42.3
Allocated share-based compensation expense	$ 88.2	$ 56.9	163.4	$ 111.3
Market capitalization			$ 2,000.0
Expected dividend yield (in percentage)			0.00%
Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Compensation cost related to non-vested stock options, weighted average period of recognition	2 years 3 months 18 days		2 years 4 months 6 days
Restricted Stock Units (RSUs) and Performance Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards vested in period, fair value			$ 84.3	133.7
Awards granted in period (shares) \| shares			1,349,000.0
Restricted Stock Units (RSUs)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (shares) \| shares			800,000
Allocated share-based compensation expense	$ 58.9	44.1	$ 113.3	85.8
Performance Stock Unit
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted in period (shares) \| shares			300,000
Allocated share-based compensation expense	$ 11.0	$ 5.9	$ 17.5	$ 12.4
Award vesting period			3 years
Expected dividend yield (in percentage)			0.00%	0.00%
1998 Employee Qualified Stock Purchase 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
Expected dividend yield (in percentage)			0.00%	0.00%
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%