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Stock-Based Compensation Plans - Summary of Option Activity (Details) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 6 Months Ended 12 Months Ended
Jul. 31, 2024
Jul. 31, 2023
Jul. 31, 2024
Jul. 31, 2023
Jan. 31, 2024
Stock-Based Compensation Plans          
Number of Stock Options Outstanding (in shares), Beginning     1,568,551    
Weighted-Average Exercise Price (in dollars per share), Beginning     $ 52.31    
Weighted-Average Remaining Contractual Life (years)     4 years 2 months 12 days   3 years 10 months 24 days
Aggregate Intrinsic Value $ 69.2   $ 69.2   $ 54.8
Granted, shares (in shares) 357 2,553 276,361 278,845  
Granted, weighted-average exercise price (in dollars per share)     $ 89.64    
Exercised, shares (in shares)     (215,199)    
Exercised, weighted-average exercise price (in dollars per share)     $ 34.91    
Forfeited, shares (in shares)     (6,892)    
Forfeited, weighted-average exercise price (in dollars per share)     $ 73.84    
Number of Stock Options Outstanding (in shares), Ending 1,622,821   1,622,821   1,568,551
Weighted-Average Exercise Price (in dollars per share), Ending $ 60.37   $ 60.37   $ 52.31
Vested or expected to vest, shares (in shares) 1,622,821   1,622,821    
Vested or expected to vest, weighted-average exercise price (in dollars per share) $ 60.37   $ 60.37    
Vested or expected to vest, weighted-average remaining contractual life (Year)     4 years 2 months 12 days    
Vested or expected to vest, aggregate intrinsic value $ 69.2   $ 69.2    
Exercisable, shares (in shares) 923,010   923,010    
Exercisable, weighted-average exercise price (in dollars per share) $ 48.78   $ 48.78    
Exercisable, weighted-average remaining contractual life (Year)     3 years 1 month 6 days    
Exercisable, aggregate intrinsic value $ 50.0   $ 50.0