v3.25.2
Stock-based compensation (Tables)
 9 Months Ended
Jul. 31, 2025
Share-Based Payment Arrangement [Abstract]  
Summarized Activity Related to Stock Options
The following table summarizes activity related to stock options for the nine months ended July 31, 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(52)118.73 
Forfeited or expired(10)224.68 
Outstanding at July 31, 2025853$172.48 $42,388 4.4 years
Expected to vest142$231.38 $256 8.2 years
Exercisable at July 31, 2025708$160.48 $42,127 3.6 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:
Nine Months EndedJuly 31, 2025July 31, 2024
Expected volatility30.3%-31.2%30.3%-31.7%
Expected dividend yield1.51%-1.51%1.15%-1.20%
Risk-free interest rate4.43%-4.48%4.22%-4.52%
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 nine months ended July 31, 2025:
 Number of UnitsWeighted-Average
Grant Date
Fair Value
Restricted share units at October 31, 202467 $238.83 
Granted49 237.24
Forfeited(9)228.11
Vested(28)247.34
Restricted share units at July 31, 202579 $236.16 
Summarized Activity Related to Director Deferred Compensation Shares
The following table summarizes activity related to director deferred compensation share equivalent units during the nine months ended July 31, 2025:
 Number of SharesWeighted-Average
Grant Date 
Fair Value
Outstanding at October 31, 202465 $115.66 
Restricted stock units vested and deferred fees1 $235.65 
Dividend equivalents1 206.43
Distributions(2)77.63 
Outstanding at July 31, 202565 $120.67