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SECURITIES - Available for Sale (Details) - USD ($)
$ in Thousands
Jun. 30, 2018
Sep. 30, 2017
Available-for-sale debt securities [Abstract]    
Mortgage-backed securities available for sale $ 575,999 $ 586,454
Available-for-sale equity securities [Abstract]    
Investment securities available for sale 1,351,538 1,106,977
Available-for-sale securities [Abstract]    
Amortized cost 1,965,768 1,680,307
Gross unrealized gains 5,015 19,884
Gross unrealized (losses) (43,246) (6,760)
Total available for sale securities 1,927,537 1,693,431
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 1,257,747 518,797
LESS THAN 12 MONTHS, Unrealized (Losses) (30,682) (4,512)
OVER 12 MONTHS, Fair Value 290,231 106,140
OVER 12 MONTHS, Unrealized (Losses) (12,564) (2,248)
TOTAL, Fair Value 1,547,978 624,937
TOTAL, Unrealized (Losses) (43,246) (6,760)
AMORTIZED COST    
Due in one year or less 100 0
Due after one year through five years 29,352 36,586
Due after five years through ten years 348,304 347,831
Due after ten years 993,211 705,963
Total 1,370,967 1,090,380
Mortgage-backed securities 593,454 588,918
Common equities and mutual funds 1,347 1,009
Amortized cost 1,965,768 1,680,307
FAIR VALUE    
Due in one year or less 100 0
Due after one year through five years 29,688 37,674
Due after five years through ten years 348,680 358,198
Due after ten years 971,174 709,660
Total 1,349,642 1,105,532
Mortgage-backed securities 575,999 586,454
Common equities and mutual funds 1,896 1,445
Total available for sale securities 1,927,537 1,693,431
Small Business Administration Securities [Member]    
Available-for-sale debt securities [Abstract]    
Amortized cost 51,785 57,046
Gross unrealized gains 27 825
Gross unrealized (losses) (853) 0
Mortgage-backed securities available for sale 50,959 57,871
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 47,646  
LESS THAN 12 MONTHS, Unrealized (Losses) (853)  
OVER 12 MONTHS, Fair Value 0  
OVER 12 MONTHS, Unrealized (Losses) 0  
TOTAL, Fair Value 47,646  
TOTAL, Unrealized (Losses) (853)  
Obligations of States and Political Subdivisions [Member]    
Available-for-sale debt securities [Abstract]    
Amortized cost 14,472  
Gross unrealized gains 60  
Gross unrealized (losses) (162)  
Mortgage-backed securities available for sale 14,370  
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 8,443  
LESS THAN 12 MONTHS, Unrealized (Losses) (162)  
OVER 12 MONTHS, Fair Value 0  
OVER 12 MONTHS, Unrealized (Losses) 0  
TOTAL, Fair Value 8,443  
TOTAL, Unrealized (Losses) (162)  
Non-bank Qualified Obligations of States and Political Subdivisions [Member]    
Available-for-sale debt securities [Abstract]    
Amortized cost 1,105,310 938,883
Gross unrealized gains 2,594 14,983
Gross unrealized (losses) (24,430) (3,037)
Mortgage-backed securities available for sale 1,083,474 950,829
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 786,022 280,900
LESS THAN 12 MONTHS, Unrealized (Losses) (23,032) (2,887)
OVER 12 MONTHS, Fair Value 25,062 5,853
OVER 12 MONTHS, Unrealized (Losses) (1,398) (150)
TOTAL, Fair Value 811,084 286,753
TOTAL, Unrealized (Losses) (24,430) (3,037)
Asset-backed Securities [Member]    
Available-for-sale debt securities [Abstract]    
Amortized cost 199,400 94,451
Gross unrealized gains 1,784 2,381
Gross unrealized (losses) (345) 0
Mortgage-backed securities available for sale 200,839 96,832
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 107,027  
LESS THAN 12 MONTHS, Unrealized (Losses) (345)  
OVER 12 MONTHS, Fair Value 0  
OVER 12 MONTHS, Unrealized (Losses) 0  
TOTAL, Fair Value 107,027  
TOTAL, Unrealized (Losses) (345)  
Mortgage-backed Securities [Member]    
Available-for-sale debt securities [Abstract]    
Amortized cost 593,454 588,918
Gross unrealized gains 0 1,259
Gross unrealized (losses) (17,455) (3,723)
Mortgage-backed securities available for sale 575,999 586,454
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 306,713 237,897
LESS THAN 12 MONTHS, Unrealized (Losses) (6,289) (1,625)
OVER 12 MONTHS, Fair Value 265,169 100,287
OVER 12 MONTHS, Unrealized (Losses) (11,166) (2,098)
TOTAL, Fair Value 571,882 338,184
TOTAL, Unrealized (Losses) (17,455) (3,723)
Debt Securities [Member]    
Available-for-sale debt securities [Abstract]    
Amortized cost 1,964,421 1,679,298
Gross unrealized gains 4,465 19,448
Gross unrealized (losses) (43,245) (6,760)
Mortgage-backed securities available for sale 1,925,641 1,691,986
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 1,255,851 518,797
LESS THAN 12 MONTHS, Unrealized (Losses) (30,681) (4,512)
OVER 12 MONTHS, Fair Value 290,231 106,140
OVER 12 MONTHS, Unrealized (Losses) (12,564) (2,248)
TOTAL, Fair Value 1,546,082 624,937
TOTAL, Unrealized (Losses) (43,245) (6,760)
Common Equities and Mutual Funds [Member]    
Available-for-sale equity securities [Abstract]    
Amortized Cost 1,347 1,009
Gross unrealized gains 550 436
Gross unrealized (losses) (1) 0
Investment securities available for sale 1,896 $ 1,445
Available-for-sale securities in a continuous unrealized loss position [Abstract]    
LESS THAN 12 MONTHS, Fair Value 1,896  
LESS THAN 12 MONTHS, Unrealized (Losses) (1)  
OVER 12 MONTHS, Fair Value 0  
OVER 12 MONTHS, Unrealized (Losses) 0  
TOTAL, Fair Value 1,896  
TOTAL, Unrealized (Losses) $ (1)