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Segment Information - Product Revenues by Systems and Software (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Schedule of Product Information [Line Items]      
Net revenues $ 2,816,120 $ 2,813,169 $ 2,695,845
Product [Member]      
Schedule of Product Information [Line Items]      
Net revenues 1,272,795 1,334,638 1,317,117
Systems | Product [Member]      
Schedule of Product Information [Line Items]      
Net revenues 537,318 670,652 651,902
Software | Product [Member]      
Schedule of Product Information [Line Items]      
Net revenues $ 735,477 $ 663,986 $ 665,215