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Segment Information (Details)
$ in Thousands
12 Months Ended
Sep. 30, 2023
USD ($)
geographic_region
Sep. 30, 2022
USD ($)
geographic_region
Sep. 30, 2021
USD ($)
geographic_region
Segment Reporting Information [Line Items]      
Number of Geographic Regions | geographic_region 3 3 3
Net revenues $ 2,813,169 $ 2,695,845 $ 2,603,416
Property and equipment, net $ 170,422 $ 168,182  
Customer One [Member] | Geographic Concentration Risk [Member] | Revenue Benchmark [Member]      
Segment Reporting Information [Line Items]      
Concentration risk percentage 15.60% 20.00% 19.20%
Customer One [Member] | Geographic Concentration Risk [Member] | Accounts Receivable [Member]      
Segment Reporting Information [Line Items]      
Concentration risk percentage 0.00% 12.90%  
Customer Two [Member] | Geographic Concentration Risk [Member] | Revenue Benchmark [Member]      
Segment Reporting Information [Line Items]      
Concentration risk percentage 15.00% 13.40% 11.10%
Customer Two [Member] | Geographic Concentration Risk [Member] | Accounts Receivable [Member]      
Segment Reporting Information [Line Items]      
Concentration risk percentage 16.00% 12.60%  
Customer Three [Member] | Geographic Concentration Risk [Member] | Accounts Receivable [Member]      
Segment Reporting Information [Line Items]      
Concentration risk percentage 10.10% 16.20%  
Product [Member]      
Segment Reporting Information [Line Items]      
Net revenues $ 1,334,638 $ 1,317,117 $ 1,247,084
Product [Member] | Systems      
Segment Reporting Information [Line Items]      
Net revenues 670,652 651,902 748,192
Product [Member] | Software      
Segment Reporting Information [Line Items]      
Net revenues 663,986 665,215 498,892
United States [Member]      
Segment Reporting Information [Line Items]      
Net revenues 1,487,416 1,487,144 1,365,625
Property and equipment, net 125,736 134,699  
Other Americas [Member]      
Segment Reporting Information [Line Items]      
Net revenues 96,958 85,711 92,111
Property and equipment, net 2,592 1,773  
Americas [Member]      
Segment Reporting Information [Line Items]      
Net revenues 1,584,374 1,572,855 1,457,736
Property and equipment, net 128,328 136,472  
EMEA [Member]      
Segment Reporting Information [Line Items]      
Net revenues 741,598 634,759 667,219
Property and equipment, net 24,336 17,376  
Asia Pacific [Member]      
Segment Reporting Information [Line Items]      
Net revenues 487,197 488,231 $ 478,461
Property and equipment, net $ 17,758 $ 14,334