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Redeemable Noncontrolling Interests	9 Months Ended
Redeemable Noncontrolling Interests	Sep. 30, 2018
Noncontrolling Interest [Abstract]
Redeemable Noncontrolling Interests	Redeemable Noncontrolling Interests Neon Lloyd’s Business On December 29, 2017, AFG completed the sale of an indirect noncontrolling interest in Neon, its United Kingdom-based Lloyd’s insurer, to certain Neon executives for cash equal to the fair value of the interest sold as determined by a third-party valuation firm. This noncontrolling interest is redeemable at the option of the holder and is presented separately in the mezzanine section of the balance sheet, as discussed in Note A — “Accounting Policies — Noncontrolling Interests.”