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SECURITIES - Available for Sale (Details) - USD ($)
$ in Thousands
Mar. 31, 2018
Sep. 30, 2017
Available-for-sale debt securities [Abstract]    
Mortgage-backed securities available for sale $ 654,890 $ 586,454
Available-for-sale equity securities [Abstract]    
Investment securities available for sale 1,418,862 1,106,977
Available-for-sale securities [Abstract]    
Amortized cost 2,102,111 1,680,307
Gross unrealized gains 7,126 19,884
Gross unrealized (losses) (35,485) (6,760)
Total available for sale securities 2,073,752 1,693,431
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 1,246,483 518,797
LESS THAN 12 MONTHS, Unrealized (Losses) (24,190) (4,512)
OVER 12 MONTHS, Fair Value 296,288 106,140
OVER 12 MONTHS, Unrealized (Losses) (11,295) (2,248)
TOTAL, Fair Value 1,542,771 624,937
TOTAL, Unrealized (Losses) (35,485) (6,760)
AMORTIZED COST    
Due in one year or less 100 0
Due after one year through five years 47,402 36,586
Due after five years through ten years 436,528 347,831
Due after ten years 945,085 705,963
Total 1,429,115 1,090,380
Mortgage-backed securities 671,649 588,918
Common equities and mutual funds 1,347 1,009
Amortized cost 2,102,111 1,680,307
FAIR VALUE    
Due in one year or less 100 0
Due after one year through five years 47,956 37,674
Due after five years through ten years 438,149 358,198
Due after ten years 930,806 709,660
Total 1,417,011 1,105,532
Mortgage-backed securities 654,890 586,454
Common equities and mutual funds 1,851 1,445
Total available for sale securities 2,073,752 1,693,431
Small Business Administration Securities [Member]    
Available-for-sale debt securities [Abstract]    
Amortized cost 52,313 57,046
Gross unrealized gains 50 825
Gross unrealized (losses) (266) 0
Mortgage-backed securities available for sale 52,097 57,871
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 42,418  
LESS THAN 12 MONTHS, Unrealized (Losses) (266)  
OVER 12 MONTHS, Fair Value 0  
OVER 12 MONTHS, Unrealized (Losses) 0  
TOTAL, Fair Value 42,418  
TOTAL, Unrealized (Losses) (266)  
Obligations of States and Political Subdivisions [Member]    
Available-for-sale debt securities [Abstract]    
Amortized cost 14,508  
Gross unrealized gains 62  
Gross unrealized (losses) (173)  
Mortgage-backed securities available for sale 14,397  
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 8,469  
LESS THAN 12 MONTHS, Unrealized (Losses) (173)  
OVER 12 MONTHS, Fair Value 0  
OVER 12 MONTHS, Unrealized (Losses) 0  
TOTAL, Fair Value 8,469  
TOTAL, Unrealized (Losses) (173)  
Non-bank Qualified Obligations of States and Political Subdivisions [Member]    
Available-for-sale debt securities [Abstract]    
Amortized cost 1,219,989 938,883
Gross unrealized gains 4,502 14,983
Gross unrealized (losses) (18,125) (3,037)
Mortgage-backed securities available for sale 1,206,366 950,829
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 770,431 280,900
LESS THAN 12 MONTHS, Unrealized (Losses) (17,356) (2,887)
OVER 12 MONTHS, Fair Value 15,650 5,853
OVER 12 MONTHS, Unrealized (Losses) (769) (150)
TOTAL, Fair Value 786,081 286,753
TOTAL, Unrealized (Losses) (18,125) (3,037)
Asset-backed Securities [Member]    
Available-for-sale debt securities [Abstract]    
Amortized cost 142,305 94,451
Gross unrealized gains 2,007 2,381
Gross unrealized (losses) (161) 0
Mortgage-backed securities available for sale 144,151 96,832
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 49,063  
LESS THAN 12 MONTHS, Unrealized (Losses) (161)  
OVER 12 MONTHS, Fair Value 0  
OVER 12 MONTHS, Unrealized (Losses) 0  
TOTAL, Fair Value 49,063  
TOTAL, Unrealized (Losses) (161)  
Mortgage-backed Securities [Member]    
Available-for-sale debt securities [Abstract]    
Amortized cost 671,649 588,918
Gross unrealized gains 0 1,259
Gross unrealized (losses) (16,759) (3,723)
Mortgage-backed securities available for sale 654,890 586,454
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 374,252 237,897
LESS THAN 12 MONTHS, Unrealized (Losses) (6,233) (1,625)
OVER 12 MONTHS, Fair Value 280,638 100,287
OVER 12 MONTHS, Unrealized (Losses) (10,526) (2,098)
TOTAL, Fair Value 654,890 338,184
TOTAL, Unrealized (Losses) (16,759) (3,723)
Debt Securities [Member]    
Available-for-sale debt securities [Abstract]    
Amortized cost 2,100,764 1,679,298
Gross unrealized gains 6,621 19,448
Gross unrealized (losses) (35,484) (6,760)
Mortgage-backed securities available for sale 2,071,901 1,691,986
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 1,244,633 518,797
LESS THAN 12 MONTHS, Unrealized (Losses) (24,189) (4,512)
OVER 12 MONTHS, Fair Value 296,288 106,140
OVER 12 MONTHS, Unrealized (Losses) (11,295) (2,248)
TOTAL, Fair Value 1,540,921 624,937
TOTAL, Unrealized (Losses) (35,484) (6,760)
Common Equities and Mutual Funds [Member]    
Available-for-sale equity securities [Abstract]    
Amortized cost 1,347 1,009
Gross unrealized gains 505 436
Gross unrealized (losses) (1) 0
Investment securities available for sale 1,851 $ 1,445
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 1,850  
LESS THAN 12 MONTHS, Unrealized (Losses) (1)  
OVER 12 MONTHS, Fair Value 0  
OVER 12 MONTHS, Unrealized (Losses) 0  
TOTAL, Fair Value 1,850  
TOTAL, Unrealized (Losses) $ (1)