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Stock-Based Compensation (Tables)
 12 Months Ended
Oct. 31, 2023
Share-Based Payment Arrangement [Abstract]  
Summarized Activity Related to Stock Options
The following table summarizes activity related to stock options during 2023:
Number of
Options		Weighted˗Average
Exercise Price
Per Share		Aggregate
Intrinsic
Value		Weighted˗Average
Remaining
Term
Outstanding at October 31, 20221,187 $141.82 
Granted80 $239.44 
Exercised(193)$113.10 
Forfeited or expired(12)$210.33 
Outstanding at October 31, 20231,062 $152.41 $69,778 4.9 years
Expected to vest244 $214.29 $4,343 7.2 years
Exercisable at October 31, 2023817 $133.85 $65,358 4.2 years
Summarized Information on Currently Outstanding Options
Summarized information on currently outstanding options follows:
Range of Exercise Price
$67 - $125
$126 - $190
$191 - $268
Number outstanding393 444 225 
Weighted-average remaining contractual life, in years3.75.38.0
Weighted-average exercise price$106.31 $151.62 $234.31 
Number exercisable390 365 62 
Weighted-average exercise price$106.39 $148.33 $221.76 
Fair Value Assumptions of Stock Options
The fair value of each option grant was estimated at the date of the grant using the Black-Scholes option-pricing model with the following assumptions:
202320222021
Expected volatility
30.4%-31.8%
30.6%-30.8%
30.8%-
32.6%
Expected dividend yield
1.12%-1.27%
0.76%-0.89%
0.83%-
0.85%
Risk-free interest rate
3.79%-4.21%
1.36%-2.65%
0.43%-
0.77%
Expected life of the option (in years)
5.0-6.2
5.3-6.2
5.3-
6.2
Summarized Activity Related to Restricted Stock
The following table summarizes activity related to restricted shares during 2023:
Number of
Shares		Weighted˗Average
Grant Date Fair
Value Per Share
Restricted at October 31, 20226 $167.99 
Vested(6)$167.99 
Restricted at October 31, 2023— $— 
Summarized Activity Related to Restricted Stock Units
The following table summarizes activity related to restricted share units in 2023:
Number of
Units		Weighted˗Average Grant Date Fair
Value
Restricted share units at October 31, 202281 $223.77 
Granted47 $233.06 
Forfeited(7)$240.94 
Vested(52)$219.82 
Restricted share units at October 31, 202369 $236.28 
Summarized Activity Related to Director Deferred Compensation Shares
The following table summarizes activity related to director deferred compensation share equivalent units during 2023:
Number of
Shares		Weighted˗Average
Grant Date Fair
Value Per Share
Outstanding at October 31, 202290 $77.70 
Restricted stock units vested4 $226.17 
Dividend equivalents1 $230.61 
Distributions(17)$52.90 
Outstanding at October 31, 202378 $93.11