v3.25.1
Stock-based compensation (Tables)
 6 Months Ended
Apr. 30, 2025
Share-Based Payment Arrangement [Abstract]  
Summarized Activity Related to Stock Options
The following table summarizes activity related to stock options for the six months ended April 30, 2025:
 Number of
Options		Weighted-
Average
Exercise Price 
Per Share		Aggregate
Intrinsic Value		Weighted
Average
Remaining
Term
Outstanding at October 31, 2024855$167.26 
Granted60209.73 
Exercised(26)117.29 
Forfeited or expired(2)228.67 
Outstanding at April 30, 2025887$171.40 $29,947 4.6 years
Expected to vest151$231.00 $5 8.5 years
Exercisable at April 30, 2025733$158.95 $29,942 3.8 years
Fair Value Assumptions of Stock Options
The fair value of each option grant was estimated at the date of grant using the Black-Scholes option-pricing model with the following assumptions:
Six Months EndedApril 30, 2025April 30, 2024
Expected volatility30.3%-31.2%30.5%-31.7%
Expected dividend yield1.51%-1.51%1.15%-1.15%
Risk-free interest rate4.43%-4.48%4.22%-4.26%
Expected life of the option (in years)5.0-6.35.0-6.2
Summarized Activity Related to Restricted Stock Units
The following table summarizes activity related to restricted share units during the six months ended April 30, 2025:
 Number of UnitsWeighted-Average
Grant Date
Fair Value
Restricted share units at October 31, 202467 $238.83 
Granted47 239.34
Forfeited(5)235.72
Vested(26)248.09
Restricted share units at April 30, 202583 $236.38 
Summarized Activity Related to Director Deferred Compensation Shares
The following table summarizes activity related to director deferred compensation share equivalent units during the six months ended April 30, 2025:
 Number of SharesWeighted-Average
Grant Date 
Fair Value
Outstanding at October 31, 202465 $115.66 
Restricted stock units vested1 $239.29 
Distributions(1)77.38 
Outstanding at April 30, 202565 $119.60