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Stock-Based Compensation Expense and Shareholders' Equity (Details Textual) - USD ($)
$ in Thousands
1 Months Ended 3 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Oct. 31, 2025
Oct. 31, 2024
Sep. 30, 2022
Class of Stock [Line Items]          
Performance period 3 years 3 years      
Total stock-based compensation expense, net     $ 43,316 $ 38,060  
Accelerated Share Repurchase Agreement          
Class of Stock [Line Items]          
Authorized repurchase amount         $ 400,000
Remaining authorized amount     138,200    
PSUs          
Class of Stock [Line Items]          
Total stock-based compensation expense, net     $ 7,600 $ 6,300  
Stock awards          
Class of Stock [Line Items]          
Vesting period 3 years 3 years