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Income Taxes - Effective Rate Reconciliation (Details)
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Income Tax Disclosure [Abstract]      
Federal statutory rate effect of: 21.00% 21.00% 21.00%
U.S. State and local income taxes 1.00% 1.80% 1.20%
Foreign earnings and losses taxed at different rates 1.10% 1.00% 0.90%
Change in valuation allowance 0.90% 1.90% 1.00%
U.K. bank tax 0.026 0.004 0
U.S. permanent items 0.002 (0.012) 0.006
Non-deductible compensation 0.70% 1.90% 0.60%
Foreign permanent items (2.80%) (2.30%) 0.30%
U.S. bargain purchase gain 0.00% (0.50%) (8.30%)
GILTI 0.60% 0.60% 0.70%
Effective rate 25.30% 24.60% 18.00%