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Income Taxes - Federal Rate Reconciliation (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Sep. 30, 2022
Jun. 30, 2022
Mar. 31, 2022
Dec. 31, 2021
Sep. 30, 2021
Jun. 30, 2021
Mar. 31, 2021
Dec. 31, 2020
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Rate reconciliation                      
Tax at federal statutory rate                 $ 115,600 $ 85,800 $ 48,800
State income tax, net of federal benefit                 20,200 8,000 8,400
Foreign residual income                 46,400 45,600 39,500
Nondeductible costs                 19,700 6,000 15,800
Change in uncertain tax positions                 15,400 8,500 (8,300)
Foreign tax rate differential                 1,100 8,800 3,200
Income tax credits and incentives                 (51,000) (51,300) (47,800)
Valuation allowance                 (18,000) 12,400 (15,900)
Tax exempt income                 (5,900) (5,400) (5,100)
Exclusion of tax on non-controlling interests                 (5,100) (6,100) (3,400)
Tax rate changes                 (4,100) (26,800) (500)
Audit settlement                 (1,500) 10,400  
Return to provision                 (1,500) (9,500) 5,100
Other items, net                 4,800 2,600 6,000
Total income tax expense $ 33,000 $ 44,500 $ 36,000 $ 22,600 $ 46,100 $ (17,800) $ 35,100 $ 25,600 $ 136,051 $ 89,011 $ 45,753
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)                 3.70% 2.00% 3.60%
Foreign residual income (as a percent)                 8.40% 11.10% 17.00%
Nondeductible costs (as a percent)                 3.60% 1.50% 6.80%
Change in uncertain tax positions (as a percent)                 2.80% 2.10% (3.60%)
Foreign tax rate differential (as a percent)                 0.20% 2.10% 1.40%
Income tax credits and incentive (as a percent)                 (9.30%) (12.50%) (20.60%)
Valuation allowance (as a percent)                 (3.30%) 3.00% (6.90%)
Tax exempt income (as a percent)                 (1.10%) (1.30%) (2.20%)
Exclusion of tax on non-controlling interests (as a percent)                 (0.90%) (1.50%) (1.50%)
Tax rate changes (as a percent)                 (0.70%) (6.50%) (0.20%)
Audit settlement (as a percent)                 (0.30%) 2.50%  
Return to provision (as a Percent)                 (0.30%) (2.30%) 2.20%
Other items, net (as a percent)                 0.90% 0.60% 2.70%
Total income tax expense (as a percent)                 24.70% 21.80% 19.70%