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Shareholders' Equity - Progression of the components of accumulated other comprehensive income (Details) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Accumulated Other Comprehensive Income [Roll Forward]      
AOCI beginning balance $ 375    
Other comprehensive income (loss), net of tax 296 $ 67 $ (431)
Other comprehensive income (loss), net of tax, acquisition of noncontrolling interest   (315)  
AOCI ending balance 813 375  
Accumulated net investment gain (loss) including portion attributable to noncontrolling interest      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Other comprehensive income (loss), unrealized holding gains on securities arising during the period, Pretax 456 124 (625)
Other comprehensive income (loss), unrealized holding gains on securities arising during the period, tax (159) (44) 219
Other comprehensive income (loss), unrealized holding gains on securities arising during the period, net of tax 297 80 (406)
Reclassification from accumulated other comprehensive income, pretax [1] (15) (19) 14
Reclassification from accumulated other comprehensive income, tax [1] 5 7 (5)
Reclassification from accumulated other comprehensive income, net of tax (10) (12) 9
Accumulated Other Comprehensive Income [Roll Forward]      
Other comprehensive income (loss), pretax 441 105 (645)
Other comprehensive income (loss), tax (154) (37) 226
Other comprehensive income (loss), net of tax 287 68 (419)
Accumulated net investment gain (loss) including portion attributable to noncontrolling interest | Reclassification out of Accumulated Other Comprehensive Income      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Reclassification from accumulated other comprehensive income, pretax     (34)
Reclassification from accumulated other comprehensive income, tax     12
Reclassification from accumulated other comprehensive income, net of tax     (22)
Accumulated net investment gain (loss) attributable to noncontrolling interest      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Other comprehensive income (loss), unrealized holding gains on securities arising during the period, net of tax 0 (4) 9
Reclassification from accumulated other comprehensive income, net of tax [1] 0 (1) (1)
Accumulated Other Comprehensive Income [Roll Forward]      
Other comprehensive income (loss), net of tax 0 (5) 8
Accumulated net investment gain (loss) attributable to noncontrolling interest | Reclassification out of Accumulated Other Comprehensive Income      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Reclassification from accumulated other comprehensive income, net of tax     0
Accumulated net investment gain (loss) attributable to parent      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Other comprehensive income (loss), unrealized holding gains on securities arising during the period, net of tax 297 76 (397)
Reclassification from accumulated other comprehensive income, net of tax (10) (13) 8
Accumulated Other Comprehensive Income [Roll Forward]      
AOCI beginning balance 404 [2] 332 [2] 743
Other comprehensive income (loss), net of tax 287 63 (411)
AOCI, Other, including the impact of the Tax Cuts and Jobs Act of 2017 and the sale of redeemable noncontrolling interests in subsidiaries [3] 149    
Other comprehensive income (loss), net of tax, acquisition of noncontrolling interest [3]   9  
AOCI ending balance [2] 840 404 332
Accumulated net investment gain (loss) attributable to parent | Reclassification out of Accumulated Other Comprehensive Income      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Reclassification from accumulated other comprehensive income, net of tax     (22)
Accumulated net gain (loss) from cash flow hedges including portion attributable to noncontrolling interest      
Accumulated Other Comprehensive Income [Roll Forward]      
Other comprehensive income (loss), pretax (6) (12) 1
Other comprehensive income (loss), tax 2 4 0
Other comprehensive income (loss), net of tax (4) (8) 1
Accumulated net gain (loss) from cash flow hedges attributable to noncontrolling interest      
Accumulated Other Comprehensive Income [Roll Forward]      
Other comprehensive income (loss), net of tax 0 0 0
Accumulated net gain (loss) from cash flow hedges attributable to parent      
Accumulated Other Comprehensive Income [Roll Forward]      
AOCI beginning balance (7) 1 0
Other comprehensive income (loss), net of tax (4) (8) 1
AOCI, Other, including the impact of the Tax Cuts and Jobs Act of 2017 and the sale of redeemable noncontrolling interests in subsidiaries [3] (2)    
AOCI ending balance (13) (7) 1
Accumulated foreign currency adjustment including portion attributable to noncontrolling interest      
Accumulated Other Comprehensive Income [Roll Forward]      
Other comprehensive income (loss), pretax 9 6 (9)
Other comprehensive income (loss), tax 3 1 (5)
Other comprehensive income (loss), net of tax 12 7 (14)
Accumulated foreign currency adjustment attributable to noncontrolling interest      
Accumulated Other Comprehensive Income [Roll Forward]      
Other comprehensive income (loss), net of tax 0 0 0
Accumulated foreign currency adjustment attributable to parent      
Accumulated Other Comprehensive Income [Roll Forward]      
AOCI beginning balance (15) (22) (8)
Other comprehensive income (loss), net of tax 12 7 (14)
AOCI, Other, including the impact of the Tax Cuts and Jobs Act of 2017 and the sale of redeemable noncontrolling interests in subsidiaries [3] (3)    
AOCI ending balance (6) (15) (22)
Accumulated defined benefit plans adjustment including portion attributable to noncontrolling interest      
Accumulated Other Comprehensive Income [Roll Forward]      
Other comprehensive income (loss), pretax 1 0 1
Other comprehensive income (loss), tax 0 0 0
Other comprehensive income (loss), net of tax 1 0 1
Accumulated defined benefit plans adjustment attributable to noncontrolling interest      
Accumulated Other Comprehensive Income [Roll Forward]      
Other comprehensive income (loss), net of tax 0 0 0
Accumulated defined benefit plans adjustment attributable to parent      
Accumulated Other Comprehensive Income [Roll Forward]      
AOCI beginning balance (7) (7) (8)
Other comprehensive income (loss), net of tax 1 0 1
AOCI, Other, including the impact of the Tax Cuts and Jobs Act of 2017 and the sale of redeemable noncontrolling interests in subsidiaries [3] (2)    
AOCI ending balance (8) (7) (7)
AOCI including portion attributable to noncontrolling interest      
Accumulated Other Comprehensive Income [Roll Forward]      
Other comprehensive income (loss), pretax 445 99 (652)
Other comprehensive income (loss), tax (149) (32) 221
Other comprehensive income (loss), net of tax 296 67 (431)
AOCI attributable to noncontrolling interest      
Accumulated Other Comprehensive Income [Roll Forward]      
Other comprehensive income (loss), net of tax 0 (5) 8
AOCI attributable to parent      
Accumulated Other Comprehensive Income [Roll Forward]      
AOCI beginning balance 375 304 727
Other comprehensive income (loss), net of tax 296 62 (423)
AOCI, Other, including the impact of the Tax Cuts and Jobs Act of 2017 and the sale of redeemable noncontrolling interests in subsidiaries [3] 142    
Other comprehensive income (loss), net of tax, acquisition of noncontrolling interest [3]   9  
AOCI ending balance $ 813 $ 375 $ 304
[1] The reclassification adjustment out of net unrealized gains on securities affected the following lines in AFG’s Statement of Earnings: OCI component Affected line in the statement of earnings Pretax Realized gains (losses) on securities Tax Provision for income taxes Attributable to noncontrolling interests Net earnings attributable to noncontrolling interests
[2] Includes net unrealized gains of $68 million at December 31, 2017 compared to net unrealized gains of $52 million and $51 million at December 31, 2016 and 2015, related to securities for which only the credit portion of an other-than-temporary impairment has been recorded in earnings.
[3] Other includes the December 2017 reclassification of $145 million stranded in AOCI from accounting for the Tax Cuts and Jobs Act of 2017 to retained earnings (see Note A — “Accounting Policies — Income Taxes”), and the impact on AOCI of the December 2017 sale of redeemable noncontrolling interests in Neon and the November 2016 acquisition of the noncontrolling interest in NATL (see Note B — “Acquisitions and Sale of Businesses”).