v3.26.1
Stock-Based Compensation (Tables)
 9 Months Ended
Jul. 31, 2026
Share-Based Payment Arrangement [Abstract]  
Schedule of Stock Compensation Arrangements
The compensation cost recognized in the condensed consolidated statements of income for our stock compensation arrangements is as follows:
Three Months Ended 
 July 31,		Nine Months Ended 
 July 31,
2026202520262025
(in thousands)
Cost of products$19,983 $22,943 $58,462 $66,470 
Cost of maintenance and service12,514 10,222 37,065 28,715 
Research and development expense113,537 113,861 347,446 326,274 
Sales and marketing expense50,671 45,564 162,388 117,214 
General and administrative expense34,899 75,133 107,270 117,236 
Stock-based compensation expense before taxes
231,604 267,723 712,631 655,909 
Income tax benefit(34,138)(38,686)(105,042)(94,779)
Stock-based compensation expense after taxes$197,466 $229,037 $607,589 $561,130 
Schedule of Share-Based Payment Award, Restricted Stock Units, Valuation Assumptions The grant date fair value of the market-based RSUs and the assumptions used in the Monte Carlo simulation model to determine the grant date fair value during the periods are as follows:
Nine Months Ended 
 July 31,
20262025
Expected life (in years)
1.67 - 2.87
2.67 - 2.79
Risk-free interest rate
3.38% - 3.48%
3.90% - 4.39%
Volatility
44.90% - 55.12%
33.40% - 34.72%
Weighted average grant date fair value per share
$454.13
$458.66
Schedule of Intrinsic Value of Equity Awards Exercised
The intrinsic values of equity awards exercised during the periods are as follows:
Three Months Ended 
 July 31,		Nine Months Ended 
 July 31,
2026202520262025
(in thousands)
Intrinsic value of awards exercised$11,216 $31,834 $35,818 $86,671