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Stock-based compensation (Tables)
 3 Months Ended
Jan. 31, 2025
Share-Based Payment Arrangement [Abstract]  
Summarized Activity Related to Stock Options
The following table summarizes activity related to stock options for the three months ended January 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(10)114.34 
Forfeited or expired(1)238.80 
Outstanding at January 31, 2025904$170.65 $50,540 4.9 years
Expected to vest153$230.88 $631 8.8 years
Exercisable at January 31, 2025748$158.11 $49,889 4.0 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:
Three Months EndedJanuary 31, 2025January 31, 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 three months ended January 31, 2025:
 Number of UnitsWeighted-Average
Grant Date
Fair Value
Restricted share units at October 31, 202467 $238.83 
Granted47 239.34
Forfeited(1)246.79
Vested(26)248.00
Restricted share units at January 31, 202587 $236.32 
Summarized Activity Related to Director Deferred Compensation Shares
The following table summarizes activity related to director deferred compensation share equivalent units during the three months ended January 31, 2025:
 Number of SharesWeighted-Average
Grant Date 
Fair Value
Outstanding at October 31, 202465 $115.66 
Restricted stock units vested1 241.19 
Distributions(1)77.16 
Outstanding at January 31, 202565 $117.80