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Income Taxes (Reconciliation of U.S Statutory Rate to Effective Tax Rate) (Details)
 12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Income Tax Disclosure [Abstract]      
Statutory tax rate 21.00% 21.00% 21.00%
State income taxes, net of federal tax benefit 0.30% (0.40%) (1.60%)
Taxes on international activities 0.40% (0.80%) (0.60%)
Research credit (1.20%) (2.10%) (3.90%)
Net excess income tax benefit from stock-based compensation (3.50%) (3.00%) (3.70%)
Adjustments of prior period tax items 0.40% 0.90% (1.30%)
Compensation and benefits 0.30% 0.80% 0.60%
Distributable foreign earnings 0.30% 1.40% 4.60%
German tax rate change (2.60%)    
Other items, net (0.20%) 0.00% 0.60%
Effective tax rate 15.20% 17.80% 15.70%