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Net Income per Share Attributable to Common Stockholders - Potential Common Share Equivalents Excluded where the Inclusion would be Anti-dilutive (Detail) - shares
12 Months Ended
Jan. 31, 2019
Jan. 31, 2018
Jan. 31, 2017
Earnings Per Share [Abstract]      
Options and awards to purchase shares not included in the computation of diluted net income per share because their inclusion would be anti-dilutive 3,054,322 833,691 2,040,238