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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	12 Months Ended
	Jan. 31, 2024	Jan. 31, 2023	Jan. 31, 2022
Earnings Per Share [Abstract]
Basic weighted-average common shares outstanding	92,697,751	93,199,874	98,022,583
Effect of dilutive options, stock appreciation rights, restricted stock units and performance stock units	1,630,034	944,188	1,246,122
Diluted weighted-average shares outstanding	94,327,785	94,144,062	99,268,705

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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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-Topic 718
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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.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 260
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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://www.xbrl.org/2003/role/disclosureRef
-Topic 260
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