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Liability for Unpaid Claims and Claims Adjustment Expense (Detail) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Causes of Increase (Decrease) in Liability for Unpaid Claims and Claims Adjustment Expense      
Balance at January 1 $ 23,249.5 $ 23,796.1 $ 24,194.0
Less Reinsurance Recoverable 2,163.6 2,064.6 2,066.9
Net Balance at January 1 21,085.9 21,731.5 22,127.1
Incurred Related to      
Current Year 5,422.9 5,243.0 5,058.1
Paid Related to      
Current Year (2,156.9) (2,035.4) (1,853.7)
Prior Years (4,410.9) (4,451.4) (4,546.5)
Total Paid (6,567.8) (6,486.8) (6,400.2)
Net Balance at December 31 21,040.0 21,085.9 21,731.5
Plus Reinsurance Recoverable 2,182.0 2,163.6 2,064.6
Balance at December 31 23,222.0 23,249.5 23,796.1
Amount Related to Interest      
Incurred Related to      
Prior Years 1,089.7 1,136.7 1,177.6
Incurred Claims      
Incurred Related to      
Prior Years (158.2) (198.3) (111.6)
Foreign Currency      
Incurred Related to      
Prior Years 167.5 (340.2) (119.5)
Operating Expense      
Incurred Related to      
Total Incurred $ 6,521.9 $ 5,841.2 $ 6,004.6