Equity Compensation - Summary of Restricted Stock Award and Restricted Stock Unit Activity (Details)	3 Months Ended
Apr. 30, 2021 $ / shares shares
Restricted Stock Units (RSUs) and Performance Shares
Unvested restricted stock units
Unvested restricted stock units, beginning balance (in shares)	4,503,900
Granted (in shares)	1,582,800
Vested (in shares)	(558,400)
Canceled/Forfeited (in shares)	(112,600)
Unvested restricted stock units, ending balance (in shares)	5,407,800
Weighted average grant date fair value per share
Unvested restricted stock units, beginning balance (in usd per share) \| $ / shares	$ 191.91
Granted (in usd per share) \| $ / shares	292.20
Vested (in usd per share) \| $ / shares	161.69
Canceled/Forfeited (in usd per share) \| $ / shares	198.93
Unvested restricted stock units, ending balance (in usd per share) \| $ / shares	$ 226.12
Performance Stock Units
Unvested restricted stock units
Granted (in shares)	200,000
Performance adjustment (in shares)	(7,900)
Weighted average grant date fair value per share
Performance adjustment (in usd per share) \| $ / shares	$ 137.02
Minimum \| Performance Stock Units
Weighted average grant date fair value per share
Performance shares units payout (in percentage)	103.00%
Maximum \| Performance Stock Units
Weighted average grant date fair value per share
Performance shares units payout (in percentage)	108.00%

Performance Shares, Units, Payout Percentage

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Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Performance Adjustment In Period

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Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Performance Adjustment, Weighted Average Grant Date Fair Value

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Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Weighted Average Grant Date Fair Value [Roll Forward]

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- Definition

The number of equity-based payment instruments, excluding stock (or unit) options, that were forfeited during the reporting period.

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-Publisher FASB
-Name Accounting Standards Codification
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- Definition

Weighted average fair value as of the grant date of equity-based award plans other than stock (unit) option plans that were not exercised or put into effect as a result of the occurrence of a terminating event.

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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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The weighted average fair value at grant date for nonvested equity-based awards issued 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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The number of non-vested equity-based payment instruments, excluding stock (or unit) options, that validly exist and are outstanding as of the balance sheet date.

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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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Per share or unit weighted-average fair value of nonvested award under share-based payment arrangement. Excludes share and unit options.

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The number of equity-based payment instruments, excluding stock (or unit) options, that vested during the reporting period.

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The weighted average fair value as of grant date pertaining to an equity-based award plan other than a stock (or unit) option plan for which the grantee gained the right during the reporting period, by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash in accordance with the terms of the arrangement.

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