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Premises and Equipment (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Property, Plant and Equipment [Line Items]      
Premises and equipment, gross $ 443,837 $ 416,920  
Less accumulated depreciation and amortization (169,822) (148,925)  
Premises and equipment, net 274,015 267,995  
Future minimum payments due, 2020 5,838    
Future minimum payments due, 2021 5,246    
Future minimum payments due, 2022 4,698    
Future minimum payments due, 2023 4,302    
Future minimum payments due, 2024 3,596    
Future minimum payments due, thereafter 10,531    
Rental expense 6,455 6,477 $ 5,500
Land      
Property, Plant and Equipment [Line Items]      
Premises and equipment, gross 117,431 110,251  
Buildings      
Property, Plant and Equipment [Line Items]      
Premises and equipment, gross 165,088 156,803  
Leasehold improvements      
Property, Plant and Equipment [Line Items]      
Premises and equipment, gross 22,765 22,887  
Furniture, software and equipment      
Property, Plant and Equipment [Line Items]      
Premises and equipment, gross $ 138,553 $ 126,979  
Minimum | Buildings      
Property, Plant and Equipment [Line Items]      
Estimated useful life 25 years    
Minimum | Leasehold improvements      
Property, Plant and Equipment [Line Items]      
Estimated useful life 7 years    
Minimum | Furniture, software and equipment      
Property, Plant and Equipment [Line Items]      
Estimated useful life 2 years    
Maximum | Buildings      
Property, Plant and Equipment [Line Items]      
Estimated useful life 40 years    
Maximum | Leasehold improvements      
Property, Plant and Equipment [Line Items]      
Estimated useful life 15 years    
Maximum | Furniture, software and equipment      
Property, Plant and Equipment [Line Items]      
Estimated useful life 10 years