Stock-based compensation (Tables)

6 Months Ended

Apr. 30, 2024

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, 2024:

	Number of Options	Weighted- Average Exercise Price  Per Share		Aggregate Intrinsic Value		Weighted Average Remaining Term
Outstanding at October 31, 2023	1,062	$	152.41
Granted	55	238.80
Exercised	(225)	124.28
Forfeited or expired	(7)	229.00
Outstanding at April 30, 2024	885	$	164.28	$	83,848	5.1 years
Expected to vest	163	$	237.97	$	3,631	8.1 years
Exercisable at April 30, 2024	721	$	147.42	$	80,173	4.4 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 Ended	April 30, 2024			April 30, 2023
Expected volatility	30.5%	-	31.7%	30.4%	-	31.8%
Expected dividend yield	1.15%	-	1.15%	1.12%	-	1.27%
Risk-free interest rate	4.22%	-	4.26%	3.79%	-	4.21%
Expected life of the option (in years)	5.0	-	6.2	5.0	-	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, 2024:

	Number of Units	Weighted-Average Grant Date Fair Value
Restricted share units at October 31, 2023	69	$	236.28
Granted	37	234.37
Forfeited	(3)	238.00
Vested	(30)	233.04
Restricted share units at April 30, 2024	73	$	236.48

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, 2024:

	Number of Shares	Weighted-Average Grant Date  Fair Value
Outstanding at October 31, 2023	78	$	93.11
Distributions	(9)	53.86
Outstanding at April 30, 2024	69	$	99.66