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Income Taxes - Federal Rate Reconciliation (Details) - USD ($)
$ in Thousands
 12 Months Ended 36 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2023
Income Taxes        
Valuation allowances $ 16,800      
Rate reconciliation        
Tax at federal statutory rate 44,800 $ 115,600 $ 85,800  
State income tax, net of federal benefit (7,100) 20,200 8,000  
Foreign residual income 59,400 46,400 45,600  
Valuation allowance 16,600 (18,000) 12,400  
Nondeductible costs 10,700 19,700 6,000  
Change in uncertain tax positions 9,400 15,400 8,500  
Audit settlement 1,900 (1,500) 10,400  
Foreign tax rate differential 200 1,100 8,800  
Income tax credits and incentives (68,200) (51,000) (51,300)  
Exclusion of tax on non-controlling interests (9,400) (5,100) (6,100)  
Tax exempt income (3,300) (5,900) (5,400)  
Tax rate changes (3,200) (4,100) (26,800)  
Return to provision (500) (1,500) (9,500)  
Other items, net 4,800 4,800 2,600  
Total income tax expense $ 56,052 $ 136,051 $ 89,011  
Major elements contributing to the difference between the U.S. federal statutory rate of 21% for fiscal year 2022, 2021 and 2020 and the effective tax rate        
Tax at federal statutory rate (as a percent) 21.00% 21.00% 21.00% 21.00%
State income tax, net of federal benefit (as a percent) (3.30%) 3.70% 2.00%  
Foreign residual income (as a percent) 27.80% 8.40% 11.10%  
Valuation allowance (as a percent) 7.80% (3.30%) 3.00%  
Nondeductible costs (as a percent) 5.00% 3.60% 1.50%  
Change in uncertain tax positions (as a percent) 4.40% 2.80% 2.10%  
Audit settlement (as a percent) 0.90% (0.30%) 2.50%  
Foreign tax rate differential (as a percent) 0.10% 0.20% 2.10%  
Income tax credits and incentive (as a percent) (31.90%) (9.30%) (12.50%)  
Exclusion of tax on non-controlling interests (as a percent) (4.40%) (0.90%) (1.50%)  
Tax exempt income (as a percent) (1.50%) (1.10%) (1.30%)  
Tax rate changes (as a percent) (1.50%) (0.70%) (6.50%)  
Return to provision (as a Percent) (0.20%) (0.30%) (2.30%)  
Other items, net (as a percent) 2.10% 0.90% 0.60%  
Total income tax expense (as a percent) 26.30% 24.70% 21.80%