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Stock-Based Compensation (Tables)
 6 Months Ended
Apr. 30, 2024
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 
 April 30,		Six Months Ended 
 April 30,
 2024202320242023
 (in thousands)
Cost of products$13,918 $12,961 $30,179 $25,362 
Cost of maintenance and service9,273 7,531 18,449 14,686 
Research and development expense88,671 72,346 179,808 138,880 
Sales and marketing expense30,987 22,971 61,560 44,397 
General and administrative expense19,842 14,551 38,200 29,633 
Stock-based compensation expense from continuing operations before taxes
162,691 130,360 328,196 252,958 
Stock-based compensation expense from discontinued operations before taxes
15,144 12,898 30,291 24,527 
Total stock-based compensation expense before taxes
177,835 143,258 358,487 277,485 
Income tax benefit(28,809)(23,193)(58,075)(44,925)
Stock-based compensation expense after taxes$149,026 $120,065 $300,412 $232,560 
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 were as follows:
 Three Months Ended 
 April 30,		Six Months Ended 
 April 30,
 2024202320242023
Expected life (in years)— 2.70 years
2.89 years
0.90 years - 2.70 years
Risk-free interest rate— 4.36 %
4.41%
4.36% - 4.63%
Volatility— 35.84 %
34.03%
35.84% - 42.86%
Grant date fair value— $357.29 
$600.29
$357.29 - $408.55
Schedule of Intrinsic Value of Equity Awards Exercised
The intrinsic values of equity awards exercised from continuing and discontinued operations during the periods are as follows:
 Three Months Ended 
 April 30,		Six Months Ended 
 April 30,
 2024202320242023
 (in thousands)
Intrinsic value of awards exercised$48,164 $63,447 $76,019 $118,223