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Selected Quarterly Financial Data (Unaudited) (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 12 Months Ended
Sep. 30, 2015
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2015
Sep. 30, 2014
Sep. 30, 2013
Quarterly Financial Information Disclosure [Abstract]                      
Total Income $ 135,339 $ 129,300 $ 132,630 $ 133,284 $ 135,077 $ 135,011 $ 132,351 $ 131,258 $ 530,553 $ 533,697 $ 516,291
Interest expense 28,486 28,735 28,750 31,101 31,684 31,732 31,715 32,946 117,072 128,077 136,159
Net interest income 106,853 100,565 103,880 102,183 103,393 103,279 100,636 98,312 413,481 405,620 380,132
Provision (reversal) for loan losses 219 (1,932) (3,949) (5,500) (3,465) (3,000) (4,336) (4,600) (11,162) (15,401) 1,350
Other operating income (REO expense) 16,719 14,999 12,314 5,695 10,808 6,016 7,255 3,837      
Other operating expense 57,208 56,719 57,324 53,600 54,537 53,293 52,059 44,120 224,851 204,009 164,240
Income before income taxes 66,145 60,777 62,819 59,778 63,129 59,002 60,168 62,629 249,519 244,928 234,616
Income taxes 23,647 21,727 22,458 21,371 22,568 21,092 21,511 22,393 89,203 87,564 83,111
NET INCOME $ 42,498 $ 39,050 $ 40,361 $ 38,407 $ 40,561 $ 37,910 $ 38,657 $ 40,236 $ 160,316 $ 157,364 $ 151,505
Basic earnings per share (in dollars per share) $ 0.46 $ 0.41 $ 0.42 $ 0.39 $ 0.41 $ 0.38 $ 0.38 $ 0.39 $ 1.68 $ 1.56 $ 1.45
Diluted earnings per share (in dollars per share) 0.45 0.41 0.42 0.39 0.41 0.37 0.38 0.39 $ 1.67 $ 1.55 $ 1.45
Cash dividends per share (in dollars per share) $ 0.13 $ 0.13 $ 0.13 $ 0.15 $ 0.11 $ 0.10 $ 0.10 $ 0.10      
Return of average assets 1.17% 1.08% 1.11% 1.05% 1.10% 1.04% 1.07% 1.19%