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Unaudited Condensed Quarterly Financial Information (Details) (USD $)
In Thousands, except Per Share data, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Quarterly Financial Information Disclosure [Abstract]                      
Net premiums written $ 895,481us-gaap_PremiumsWrittenNet $ 959,539us-gaap_PremiumsWrittenNet $ 971,928us-gaap_PremiumsWrittenNet $ 1,064,990us-gaap_PremiumsWrittenNet $ 748,921us-gaap_PremiumsWrittenNet $ 839,135us-gaap_PremiumsWrittenNet $ 810,535us-gaap_PremiumsWrittenNet $ 952,776us-gaap_PremiumsWrittenNet $ 3,891,938us-gaap_PremiumsWrittenNet $ 3,351,367us-gaap_PremiumsWrittenNet $ 3,052,235us-gaap_PremiumsWrittenNet
Net premiums earned 923,165us-gaap_PremiumsEarnedNet 903,651us-gaap_PremiumsEarnedNet 907,152us-gaap_PremiumsEarnedNet 859,780us-gaap_PremiumsEarnedNet 839,366us-gaap_PremiumsEarnedNet 795,000us-gaap_PremiumsEarnedNet 758,816us-gaap_PremiumsEarnedNet 752,770us-gaap_PremiumsEarnedNet 3,593,748us-gaap_PremiumsEarnedNet 3,145,952us-gaap_PremiumsEarnedNet 2,935,140us-gaap_PremiumsEarnedNet
Net investment income 82,496us-gaap_InvestmentIncomeNet 80,105us-gaap_InvestmentIncomeNet 72,990us-gaap_InvestmentIncomeNet 66,994us-gaap_InvestmentIncomeNet 67,095us-gaap_InvestmentIncomeNet 66,083us-gaap_InvestmentIncomeNet 68,369us-gaap_InvestmentIncomeNet 65,672us-gaap_InvestmentIncomeNet 302,585us-gaap_InvestmentIncomeNet 267,219us-gaap_InvestmentIncomeNet 294,895us-gaap_InvestmentIncomeNet
Net realized gains 10,561us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments 18,515us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments 54,144us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments 19,697us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments 9,048us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments (6,022)us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments 12,652us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments 58,340us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments 102,917us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments 74,018us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments 194,228us-gaap_MarketableSecuritiesGainLossExcludingOtherThanTemporaryImpairments
Net impairment losses recognized in earnings (3,837)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet (8,593)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet (14,749)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet (2,971)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet (88)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet (728)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet (724)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet (2,246)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet (30,150)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet (3,786)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet (11,388)us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNet
Underwriting Income Loss Segment 113,464acgl_UnderwritingIncomeLossSegment 101,087acgl_UnderwritingIncomeLossSegment 124,091acgl_UnderwritingIncomeLossSegment 132,456acgl_UnderwritingIncomeLossSegment 128,318acgl_UnderwritingIncomeLossSegment 110,992acgl_UnderwritingIncomeLossSegment 96,029acgl_UnderwritingIncomeLossSegment 116,398acgl_UnderwritingIncomeLossSegment 471,098acgl_UnderwritingIncomeLossSegment 451,737acgl_UnderwritingIncomeLossSegment 143,034acgl_UnderwritingIncomeLossSegment
Net income 207,134us-gaap_ProfitLoss 223,264us-gaap_ProfitLoss 211,717us-gaap_ProfitLoss 179,145us-gaap_ProfitLoss 161,490us-gaap_ProfitLoss 114,825us-gaap_ProfitLoss 176,940us-gaap_ProfitLoss 256,476us-gaap_ProfitLoss 821,260us-gaap_ProfitLoss 709,731us-gaap_ProfitLoss 593,397us-gaap_ProfitLoss
Dividends declared on preferred shares (5,485)us-gaap_DividendsPreferredStock (5,484)us-gaap_DividendsPreferredStock (5,485)us-gaap_DividendsPreferredStock (5,484)us-gaap_DividendsPreferredStock (5,485)us-gaap_DividendsPreferredStock (5,484)us-gaap_DividendsPreferredStock (5,485)us-gaap_DividendsPreferredStock (5,484)us-gaap_DividendsPreferredStock (21,938)us-gaap_DividendsPreferredStock (21,938)us-gaap_DividendsPreferredStock (25,079)us-gaap_DividendsPreferredStock
Net income available to common shareholders 209,679us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 223,191us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 202,531us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 177,016us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 156,005us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 109,341us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 171,455us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 250,992us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 812,417us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 687,793us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic 557,706us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic
Loss on repurchase of preferred shares                 $ 0us-gaap_PreferredStockRedemptionPremium $ 0us-gaap_PreferredStockRedemptionPremium $ 10,612us-gaap_PreferredStockRedemptionPremium
Basic (per share) $ 1.65us-gaap_EarningsPerShareBasic $ 1.69us-gaap_EarningsPerShareBasic $ 1.53us-gaap_EarningsPerShareBasic $ 1.34us-gaap_EarningsPerShareBasic $ 1.19us-gaap_EarningsPerShareBasic $ 0.83us-gaap_EarningsPerShareBasic $ 1.31us-gaap_EarningsPerShareBasic $ 1.92us-gaap_EarningsPerShareBasic $ 6.21us-gaap_EarningsPerShareBasic $ 5.24us-gaap_EarningsPerShareBasic $ 4.15us-gaap_EarningsPerShareBasic
Diluted (per share) $ 1.60us-gaap_EarningsPerShareDiluted $ 1.64us-gaap_EarningsPerShareDiluted $ 1.48us-gaap_EarningsPerShareDiluted $ 1.30us-gaap_EarningsPerShareDiluted $ 1.14us-gaap_EarningsPerShareDiluted $ 0.80us-gaap_EarningsPerShareDiluted $ 1.26us-gaap_EarningsPerShareDiluted $ 1.85us-gaap_EarningsPerShareDiluted $ 6.02us-gaap_EarningsPerShareDiluted $ 5.07us-gaap_EarningsPerShareDiluted $ 4.03us-gaap_EarningsPerShareDiluted