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Income Taxes - Federal Rate Reconciliation (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Income Taxes      
Tax expense related to valuation allowances $ (10,300)    
Rate reconciliation      
Tax at federal statutory rate 150,800 $ 44,800 $ 115,600
State income tax, net of federal benefit (8,500) (7,100) 20,200
Foreign residual income 43,800 59,400 46,400
Nondeductible costs 20,600 10,700 19,700
ACAP investment sale 20,200    
Change in uncertain tax positions 18,600 9,400 15,400
Tax rate changes 1,200 (3,200) (4,100)
Audit settlement 500 1,900 (1,500)
Income tax credits and incentives (63,500) (68,200) (51,000)
Valuation allowance (12,600) 16,600 (18,000)
Exclusion of tax on non-controlling interests (12,500) (9,400) (5,100)
Return to provision (3,700) (500) (1,500)
Foreign tax rate differential (2,800) 200 1,100
Tax exempt income (2,500) (3,300) (5,900)
Other items, net 3,300 4,800 4,800
Total income tax expense $ 152,900 $ 56,052 $ 136,051
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%
State income tax, net of federal benefit (as a percent) (1.20%) (3.30%) 3.70%
Foreign residual income (as a percent) 6.10% 27.80% 8.40%
Nondeductible costs (as a percent) 2.90% 5.00% 3.60%
ACAP investment sale (as a percent) 2.80%    
Change in uncertain tax positions (as a percent) 2.60% 4.40% 2.80%
Tax rate changes (as a percent) 0.20% (1.50%) (0.70%)
Audit settlement (as a percent) 0.10% 0.90% (0.30%)
Income tax credits and incentive (as a percent) (8.80%) (31.90%) (9.30%)
Valuation allowance (as a percent) (1.80%) 7.80% (3.30%)
Exclusion of tax on non-controlling interests (as a percent) (1.70%) (4.40%) (0.90%)
Return to provision (as a Percent) (0.50%) (0.20%) (0.30%)
Foreign tax rate differential (as a percent) (0.40%) 0.10% 0.20%
Tax exempt income (as a percent) (0.40%) (1.50%) (1.10%)
Other items, net (as a percent) 0.40% 2.10% 0.90%
Total income tax expense (as a percent) 21.30% 26.30% 24.70%