Stock-Based Compensation (Tables)

3 Months Ended

Jan. 31, 2021

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, 2021:

	Number of Options	Weighted- Average Exercise Price  Per Share		Aggregate Intrinsic Value		Weighted Average Remaining Term
Outstanding at October 31, 2020	1,487	$	122.45
Granted	92	201.50
Exercised	(64)	116.96
Forfeited or expired	(6)	146.89
Outstanding at January 31, 2021	1,509	$	127.40	$	80,152	7.0 years
Expected to vest	600	$	156.03	$	16,077	8.5 years
Exercisable at January 31, 2021	902	$	108.12	$	63,938	5.9 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 Ended	January 31, 2021			January 31, 2020
Expected volatility	30.8%	-	32.6%	24.5%	-	25.4%
Expected dividend yield	0.83%			0.93%	-	1.16%
Risk-free interest rate	0.43%	-	0.54%	1.64%	-	1.69%
Expected life of the option (in years)	5.3	-	6.2	5.3	-	6.2

Summarized Activity Related to Restricted Stock

The following table summarizes activity related to restricted shares during the three months ended January 31, 2021:

	Number of Shares	Weighted-Average Grant Date Fair Value
Restricted shares at October 31, 2020	58	$	148.75
Granted	—	—
Forfeited	(1)	147.93
Vested	(15)	139.70
Restricted shares units at January 31, 2021	42	$	151.90

Summarized Activity Related to Restricted Stock Units

The following table summarizes activity related to restricted share units during the three months ended January 31, 2021:

	Number of Units	Weighted-Average Grant Date Fair Value
Restricted shares units at October 31, 2020	—	$	—
Granted	85	202.14
Forfeited	(2)	198.68
Vested	(1)	201.50
Restricted shares units at January 31, 2021	82	$	202.26

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, 2021:

	Number of Shares	Weighted-Average Grant Date Fair Value
Outstanding at October 31, 2019	120	$	60.81
Dividend equivalents	—	—
Distributions	(7)	81.32
Outstanding at January 31, 2021	113	$	59.93