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Income Taxes - Tax (Benefit) Expense (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Income Taxes      
Income from domestic operations before income tax expense $ 129,200 $ 235,200 $ 98,600
Income from foreign operations before income tax expense 342,600 315,400 310,200
Current:      
Federal 67,700 22,800 32,200
State 71,900 16,000 6,800
Foreign 52,800 75,800 53,200
Total current income tax expense 192,400 114,600 92,200
Deferred:      
Federal (71,800) 22,100 (28,800)
State (84,300) 11,800 18,800
Foreign 19,800 (12,400) 6,800
Total deferred income tax benefit (136,300) 21,500 (3,200)
Total income tax expense $ 56,052 $ 136,051 $ 89,011