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Stock Option and Incentive Plan (Tables)
12 Months Ended
Sep. 30, 2021
Disclosure of Stock Option and Incentive Plan [Abstract]  
Summary of Option Activity The following table summarizes information about options to purchase the Company
s ordinary shares, as well as changes during the fiscal year ended September 30, 2021:
    
Number of
Share
Options
    
Weighted Average
Exercise Price
 
Outstanding as of October 1, 2020
     5,716      $ 60.26  
Granted
     62        60.77  
Exercised
     (1,541      57.81  
Forfeited
     (249      63.63  
    
 
 
          
Outstanding as of September 30, 2021(1)
     3,988      $ 61.00  
    
 
 
          
Exercisable as of September 30, 2021(1)
     2,119      $ 57.55  
    
 
 
          
 
(1)
As of September 30, 2021, the weighted average remaining contractual life of outstanding and exercisable options was 6.42 and 5.40 years, respectively.
Summary of Restricted Shares Activity
The following table summarizes information relating to awards of restricted shares, as well as changes during the fiscal year ended September 30, 2021:
 
    
Number of
Shares
    
Weighted Average
Grant Date Fair
Value
 
Outstanding as of October 1, 2020
     1,097      $ 66.57  
Granted
     1,032        66.83  
Vested
     (426      65.40  
Forfeited
     (116      67.84  
    
 
 
          
Outstanding as of September 30, 2021
     1,587      $ 66.96  
    
 
 
          
Employee Equity-Based Compensation Pre-Tax Expense
Employee
equity-based compensation
pre-tax
expense for the years ended September 30, 2021, 2020 and 2019 was as follows:
 
    
Year Ended September 30,
 
    
2021
    
2020
    
2019
 
Cost of revenue
   $ 22,691      $ 20,005      $ 19,879  
Research and development
     4,021        3,058        2,714  
Selling, general and administrative
     27,537        19,371        15,957  
    
 
 
    
 
 
    
 
 
 
Total
   $ 54,249      $ 42,434      $ 38,550  
    
 
 
    
 
 
    
 
 
 
Assumptions Used in Calculating Fair Value of Options
The fair value of options granted was estimated on the date of grant using the Black-Scholes pricing model with the assumptions noted in the following table (all in weighted averages for options granted during the year):
 
    
Year Ended September 30,
 
    
2021
   
2020
   
2019
 
Risk-free interest rate(1)
     0.30     1.41     2.64
Expected life of stock options(2)
     4.50       4.50       4.50  
Expected volatility(3)
     21.3     17.3     17.8
Expected dividend yield(4)
     2.22     1.75     1.82
Fair value per option
   $ 7.82     $ 8.85     $ 9.13  
 
(1)
Risk-free interest rate is based upon U.S. Treasury yield curve appropriate for the term of the Company’s employee stock options.
(2)
Expected life of stock options is based upon historical experience.
(3)
Expected volatility is based on blended volatility.
(4)
Expected dividend yield is based on the Company’s history and future expectation of dividend payouts.