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Segments of Operations - Revenues by segment and sub-segment (Details) - USD ($)
$ in Millions
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]                      
Total premiums earned                 $ 4,579 $ 4,328 $ 4,224
Net investment income                 1,831 1,696 1,633
Other income                 206 224 243
Revenues before realized gains (losses)                 6,860 6,477 6,325
Realized gains (losses) on securities                 5 19 (19)
Realized gains (losses) on subsidiaries                 0 2 (161)
Total revenues $ 1,808 $ 1,835 $ 1,646 $ 1,576 $ 1,737 $ 1,705 $ 1,581 $ 1,475 6,865 6,498 6,145
Property and casualty insurance                      
Segment Reporting Information [Line Items]                      
Total premiums earned                 4,579 4,328 4,224
Net investment income                 362 350 319
Other income [1]                 28 51 78
Revenues before realized gains (losses)                 4,969 4,729 4,621
Annuity                      
Segment Reporting Information [Line Items]                      
Net investment income                 1,458 1,356 1,224
Other income                 103 103 98
Revenues before realized gains (losses)                 1,561 1,459 1,322
Run-off long-term care and life                      
Segment Reporting Information [Line Items]                      
Revenues before realized gains (losses) [2]                 47 49 188
Other                      
Segment Reporting Information [Line Items]                      
Revenues before realized gains (losses)                 283 240 194
Property and transportation | Property and casualty insurance                      
Segment Reporting Information [Line Items]                      
Total premiums earned                 1,711 1,662 1,599
Specialty casualty | Property and casualty insurance                      
Segment Reporting Information [Line Items]                      
Total premiums earned                 2,186 2,006 2,011
Specialty financial | Property and casualty insurance                      
Segment Reporting Information [Line Items]                      
Total premiums earned                 576 557 517
Other specialty | Property and casualty insurance                      
Segment Reporting Information [Line Items]                      
Total premiums earned                 $ 106 $ 103 $ 97
[1] Includes income of $32 million (before noncontrolling interest) from the sale of an apartment property in 2016 and $66 million (before noncontrolling interest) from the sales of a hotel and an apartment property in 2015.
[2] AFG sold substantially all of its run-off long-term care insurance business in December 2015.