Deferred Compensation - Additional Information (Detail) - USD ($) $ in Millions	12 Months Ended
Jan. 31, 2019	Jan. 31, 2018
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
Marketable securities	$ 67.6
Deferred compensation liability, current and non-current	60.3	$ 59.0
Deferred compensation liability, current	5.0	3.4
Deferred compensation liability, non-current	55.3	55.6
Costs to obtain a contract	93.0
Amortization of costs to obtain a contract	108.8
Rabbi Trust
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
Deferred compensation liability, current and non-current	60.3	59.0
Deferred compensation liability, current	5.0	3.4
Deferred compensation liability, non-current	55.3	55.6
Mutual funds
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items]
Debt securities, trading	$ 60.3	$ 59.0

Amount of amortization expense for asset recognized from cost incurred to obtain or fulfill contract with customer.

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Amount, after accumulated amortization and accumulated impairment loss, of asset recognized from cost incurred to obtain or fulfill contract with customer.

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Aggregate carrying value as of the balance sheet date of the liabilities for all deferred compensation arrangements payable beyond one year (or the operating cycle, if longer).

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Aggregate carrying value as of the balance sheet date of the liabilities for all deferred compensation arrangements payable within one year (or the operating cycle, if longer). Represents currently earned compensation under compensation arrangements that is not actually paid until a later date.

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Amount of investment in marketable security.

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Amount of investment in debt security measured at fair value with change in fair value recognized in net income (trading).

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