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Weighted Average Assumptions Used to Estimate Fair Value of Stock Options at Date of Grant (Detail) - Stock Options
12 Months Ended
Jan. 31, 2020
Jan. 31, 2019
Jan. 31, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected life, in years 5 years 3 months 18 days 5 years 4 months 24 days 3 years 4 months 24 days
Risk-free interest rate 1.90% 2.80% 1.60%
Volatility 37.60% 35.60% 40.20%