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Computation of Earnings Per Ordinary Share and Ordinary Share Equivalent - Computation of Basic and Diluted Earnings Per Share (Details) (USD $)
In Thousands, except Per Share data, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Basic earnings per ordinary share & ordinary share equivalents outstanding:    
Net income (loss) attributable to ordinary shareholders $ 36,281us-gaap_NetIncomeLoss $ 255,717us-gaap_NetIncomeLoss
Weighted average ordinary shares outstanding - basic 255,724us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 276,337us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Basic earnings per ordinary share & ordinary share equivalents outstanding $ 0.14us-gaap_EarningsPerShareBasic $ 0.93us-gaap_EarningsPerShareBasic
Diluted earnings per ordinary share & ordinary share equivalents outstanding:    
Impact of share-based compensation and certain conversion features 4,980xlgroup_ImpactOfAssumedConversionOfUnits 4,121xlgroup_ImpactOfAssumedConversionOfUnits
Weighted average ordinary shares outstanding - diluted 260,704us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 280,458us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Diluted earnings per ordinary share & ordinary share equivalents outstanding $ 0.14us-gaap_EarningsPerShareDiluted $ 0.91us-gaap_EarningsPerShareDiluted
Dividends per ordinary share $ 0.16us-gaap_CommonStockDividendsPerShareCashPaid $ 0.16us-gaap_CommonStockDividendsPerShareCashPaid