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Earnings Per Common Share (Earnings per common share) (Details) (USD $) In Thousands, except Per Share data, unless otherwise specified	12 Months Ended
	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012
Earnings Per Share [Abstract]
Net income	$ 85,181us-gaap_NetIncomeLoss	$ 98,446us-gaap_NetIncomeLoss	$ 24,555us-gaap_NetIncomeLoss
Non-Convertible Preferred Stock Dividend (Series A,B and D)	(6,512)ofg_NonConvertiblePreferredStockDividend	(6,512)ofg_NonConvertiblePreferredStockDividend	(6,264)ofg_NonConvertiblePreferredStockDividend
Convertible Preferred Stock Dividend (Series C)	(7,350)ofg_ConvertiblePreferredStockDividend	(7,350)ofg_ConvertiblePreferredStockDividend	(3,675)ofg_ConvertiblePreferredStockDividend
Income available to common shareholders	71,319us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic	84,584us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic	14,616us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic
Effect of assumed conversion of convertible preferred stock	7,350ofg_EffectOfAssumedConversion	7,350ofg_EffectOfAssumedConversion	3,675ofg_EffectOfAssumedConversion
Income available to common sharesholders assuming conversion	$ 78,669ofg_IncomeAvailableToCommonSharesholdersAssumingConversion	$ 91,934ofg_IncomeAvailableToCommonSharesholdersAssumingConversion	$ 18,291ofg_IncomeAvailableToCommonSharesholdersAssumingConversion
Average common shares outstanding	45,024us-gaap_WeightedAverageNumberOfSharesOutstandingBasic	45,706us-gaap_WeightedAverageNumberOfSharesOutstandingBasic	41,626us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Average potential common shares options	155ofg_AveragePotentialCommonSharesOptions	189ofg_AveragePotentialCommonSharesOptions	109ofg_AveragePotentialCommonSharesOptions
Average potential common shares convertible preferred stock	7,147ofg_AveragePotentialCommonSharesConvertiblePreferredStock	7,138ofg_AveragePotentialCommonSharesConvertiblePreferredStock	3,569ofg_AveragePotentialCommonSharesConvertiblePreferredStock
Average common shares outstanding and equivalents	52,326us-gaap_WeightedAverageNumberOfShareOutstandingBasicAndDiluted	53,033us-gaap_WeightedAverageNumberOfShareOutstandingBasicAndDiluted	45,304us-gaap_WeightedAverageNumberOfShareOutstandingBasicAndDiluted
Earnings per common share - basic	$ 1.58us-gaap_EarningsPerShareBasic	$ 1.85us-gaap_EarningsPerShareBasic	$ 0.35us-gaap_EarningsPerShareBasic
Earnings per common share - diluted	$ 1.50us-gaap_EarningsPerShareDiluted	$ 1.73us-gaap_EarningsPerShareDiluted	$ 0.35us-gaap_EarningsPerShareDiluted

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Average amount of shares convertible upon conversion of convertible preferred stocks.

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The amount of net income (loss) for the period per each share of common stock or unit outstanding during the reporting period.

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