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Reconciliation of Weighted Average Common Shares Outstanding Used for Computation of Basic and Diluted Net Income per Common Share (Detail) - shares	3 Months Ended
	Apr. 30, 2018	Apr. 30, 2017
Earnings Per Share [Abstract]
Basic weighted-average common shares outstanding	108,490,926	116,276,289
Effect of dilutive options, stock appreciation rights, performance stock units and restricted stock units	1,252,751	263,016
Diluted weighted-average shares outstanding	109,743,677	116,539,305

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Additional shares included in the calculation of diluted EPS as a result of the potentially dilutive effect of share based payment arrangements using the treasury stock method.

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The average number of shares or units issued and outstanding that are used in calculating diluted EPS or earnings per unit (EPU), determined based on the timing of issuance of shares or units in the period.

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Number of [basic] shares or units, after adjustment for contingently issuable shares or units and other shares or units not deemed outstanding, determined by relating the portion of time within a reporting period that common shares or units have been outstanding to the total time in that period.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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