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Premises and Equipment (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Property, Plant and Equipment [Line Items]      
Premises and equipment, gross $ 416,920 $ 390,291  
Less accumulated depreciation and amortization (148,925) (126,597)  
Premises and equipment, net 267,995 263,694  
Future minimum payments due, 2019 5,582    
Future minimum payments due, 2020 5,316    
Future minimum payments due, 2021 4,758    
Future minimum payments due, 2022 4,172    
Future minimum payments due, 2023 3,689    
Future minimum payments due, thereafter 13,778    
Rental expense 6,477 5,500 $ 5,346
Land      
Property, Plant and Equipment [Line Items]      
Premises and equipment, gross 110,251 102,381  
Buildings      
Property, Plant and Equipment [Line Items]      
Premises and equipment, gross 156,803 149,805  
Leasehold improvements      
Property, Plant and Equipment [Line Items]      
Premises and equipment, gross 22,887 18,587  
Furniture, software and equipment      
Property, Plant and Equipment [Line Items]      
Premises and equipment, gross $ 126,979 $ 119,518  
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