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SEGMENT INFORMATION - Segment results (Details)
$ in Thousands
 3 Months Ended 12 Months Ended
Dec. 31, 2019
USD ($)
Sep. 30, 2019
USD ($)
Jun. 30, 2019
USD ($)
Mar. 31, 2019
USD ($)
Dec. 31, 2018
USD ($)
Sep. 30, 2018
USD ($)
Jun. 30, 2018
USD ($)
Mar. 31, 2018
USD ($)
Dec. 31, 2019
USD ($)
reportable_segment
Dec. 31, 2018
USD ($)
Dec. 31, 2017
USD ($)
Segment Reporting [Abstract]                      
Number of reportable segments | reportable_segment                 2    
Segment Information [Line Items]                      
Gross premiums written                 $ 6,898,858 $ 6,910,065 $ 5,556,273
Net premiums written                 4,489,615 4,658,962 4,027,143
Net premiums earned $ 1,172,051 $ 1,157,307 $ 1,123,607 $ 1,134,212 $ 1,214,469 $ 1,224,075 $ 1,185,548 $ 1,167,402 4,587,178 4,791,495 4,148,760
Other insurance related income (losses)                 16,444 10,622 (1,240)
Net losses and loss expenses                 (3,044,798) (3,190,287) (3,287,772)
Acquisition costs                 (1,024,582) (968,835) (823,591)
General and administrative expenses                 (634,831) (627,389) (579,428)
Underwriting income (loss) (49,254) (78,718) 78,659 77,822 (194,664) 59,026 115,726 143,737      
Net investment income 117,557 115,763 137,949 107,303 113,128 114,421 109,960 100,999 478,572 438,507 400,805
Net investment gains 42,712 14,527 21,225 12,767 (72,667) (17,628) (45,093) (14,830) 91,233 (150,218) 28,226
Foreign exchange gains                 12,041 29,165 (134,737)
Interest expense and financing costs                 (68,107) (67,432) (54,811)
Bargain purchase gain                 0 0 15,044
Transaction and reorganization expenses                 (37,384) (66,940) (26,718)
Amortization of value of business acquired (2,000) $ (4,000) $ (7,000) $ (13,000) (23,000) $ (39,000) $ (53,000) $ (57,000) (26,722) (172,332) (50,104)
Amortization of intangible assets                 (11,597) (13,814) (2,543)
Income (loss) before income taxes and interest in income (loss) of equity method investments                 337,447 12,542 (368,109)
Goodwill and intangible assets 341,545               341,545    
Operating Segments                      
Segment Information [Line Items]                      
Gross premiums written                 6,898,858 6,910,065 5,556,273
Net premiums written                 4,489,615 4,658,962 4,027,143
Net premiums earned                 4,587,178 4,791,495 4,148,760
Other insurance related income (losses)                 16,444 10,622 (1,240)
Net losses and loss expenses                 (3,044,798) (3,190,287) (3,287,772)
Acquisition costs                 (1,024,582) (968,835) (823,591)
General and administrative expenses                 (505,735) (519,168) (449,483)
Underwriting income (loss)                 $ 28,507 $ 123,827 $ (413,326)
Net losses and loss expenses ratio                 66.40% 66.60% 79.20%
Acquisition cost ratio                 22.30% 20.20% 19.90%
General and administrative expense ratio                 13.90% 13.10% 14.00%
Combined ratio                 102.60% 99.90% 113.10%
Goodwill and intangible assets 332,553       343,571       $ 332,553 $ 343,571 $ 359,990
Operating Segments | Insurance                      
Segment Information [Line Items]                      
Gross premiums written                 3,675,931 3,797,592 2,814,918
Net premiums written                 2,209,155 2,324,747 1,775,825
Net premiums earned                 2,190,084 2,362,606 1,816,438
Other insurance related income (losses)                 2,858 3,460 2,944
Net losses and loss expenses                 (1,278,679) (1,494,323) (1,465,427)
Acquisition costs                 (468,281) (399,193) (270,229)
General and administrative expenses                 (401,963) (395,252) (325,368)
Underwriting income (loss)                 $ 44,019 $ 77,298 $ (241,642)
Net losses and loss expenses ratio                 58.40% 63.20% 80.70%
Acquisition cost ratio                 21.40% 16.90% 14.90%
General and administrative expense ratio                 18.30% 16.80% 17.90%
Combined ratio                 98.10% 96.90% 113.50%
Goodwill and intangible assets 332,553       343,571       $ 332,553 $ 343,571 $ 359,990
Operating Segments | Reinsurance                      
Segment Information [Line Items]                      
Gross premiums written                 3,222,927 3,112,473 2,741,355
Net premiums written                 2,280,460 2,334,215 2,251,318
Net premiums earned                 2,397,094 2,428,889 2,332,322
Other insurance related income (losses)                 13,586 7,162 (4,184)
Net losses and loss expenses                 (1,766,119) (1,695,964) (1,822,345)
Acquisition costs                 (556,301) (569,642) (553,362)
General and administrative expenses                 (103,772) (123,916) (124,115)
Underwriting income (loss)                 $ (15,512) $ 46,529 $ (171,684)
Net losses and loss expenses ratio                 73.70% 69.80% 78.10%
Acquisition cost ratio                 23.20% 23.50% 23.70%
General and administrative expense ratio                 4.30% 5.10% 5.30%
Combined ratio                 101.20% 98.40% 107.10%
Goodwill and intangible assets $ 0       $ 0       $ 0 $ 0 $ 0
Corporate                      
Segment Information [Line Items]                      
General and administrative expenses                 (129,096) (108,221) (129,945)
Significant Reconciling Items                      
Segment Information [Line Items]                      
Net investment income                 478,572 438,507 400,805
Net investment gains                 91,233 (150,218) 28,226
Foreign exchange gains                 12,041 29,165 (134,737)
Interest expense and financing costs                 (68,107) (67,432) (54,811)
Bargain purchase gain                     15,044
Transaction and reorganization expenses                 (37,384) (66,940) (26,718)
Amortization of value of business acquired                 (26,722) (172,332) (50,104)
Amortization of intangible assets                 $ (11,597) $ (13,814) $ (2,543)