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Summary of Gross Written Premiums Allocated Based on Location of Insured's Head Office (Detail) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Segment Reporting Information [Line Items]                      
Gross Written Premiums $ 408,743 $ 402,038 $ 452,179 $ 450,305 $ 367,539 $ 374,930 $ 412,565 $ 413,877 $ 1,713,265 $ 1,568,911 $ 1,453,502
United States                      
Segment Reporting Information [Line Items]                      
Gross Written Premiums                 1,203,695 1,101,337 1,057,895
Worldwide (Excluding the United States)                      
Segment Reporting Information [Line Items]                      
Gross Written Premiums                 $ 509,570 $ 467,574 $ 395,607