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Stock-based compensation (Tables)

6 Months Ended

Apr. 30, 2022

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, 2022:

						Number of Options						Weighted- Average Exercise Price  Per Share						Aggregate Intrinsic Value						Weighted Average Remaining Term
Outstanding at October 31, 2021						1,235						$	130.93
Granted						83						267.51
Exercised						(68)						115.99
Forfeited or expired						(14)						204.77
Outstanding at April 30, 2022						1,236						$	140.12					$	97,385					5.8 years
Expected to vest						380						$	185.05					$	15,565					7.5 years
Exercisable at April 30, 2022						854						$	119.99					$	81,711					5.0 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:

Six Months Ended			April 30, 2022												April 30, 2021
Expected volatility			30.6%			-			30.8%						30.8%			-			32.6%
Expected dividend yield			0.76%			-			0.76%						0.83%			-			0.85%
Risk-free interest rate			1.36%			-			1.47%						0.43%			-			0.77%
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 six months ended April 30, 2022:

						Number of Shares						Weighted-Average Grant Date Fair Value
Restricted shares at October 31, 2021						19						$	157.36
Vested						(10)						146.50
Restricted shares at April 30, 2022						9						$	171.11

Summarized Activity Related to Restricted Stock Units

The following table summarizes activity related to restricted share units during the six months ended April 30, 2022:

						Number of Units						Weighted-Average Grant Date Fair Value
Restricted share units at October 31, 2021						67						$	202.81
Granted						41						263.75
Forfeited						(8)						221.84
Vested						(15)						201.79
Restricted share units at April 30, 2022						85						$	230.34

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, 2022:

						Number of Shares						Weighted-Average Grant Date Fair Value
Outstanding at October 31, 2021						106						$	68.11
Distributions						(7)						48.01
Outstanding at April 30, 2022						99						$	70.81

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Tabular disclosure of the changes in outstanding nonvested restricted stock units.

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