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Shareholders Equity - Additional Information (Detail) (USD $)
In Millions, except Share data, unless otherwise specified
0 Months Ended 3 Months Ended 0 Months Ended
Mar. 19, 2015
Feb. 17, 2015
Mar. 17, 2014
Feb. 18, 2014
Mar. 31, 2015
Mar. 31, 2014
Nov. 05, 2013
May 05, 2015
Class Of Stock [Line Items]                
Dividend declared per common share   $ 0.20us-gaap_CommonStockDividendsPerShareDeclared   $ 0.15us-gaap_CommonStockDividendsPerShareDeclared $ 0.20us-gaap_CommonStockDividendsPerShareDeclared $ 0.14us-gaap_CommonStockDividendsPerShareDeclared    
Dividends payable date   Mar. 16, 2015   Mar. 17, 2014        
Dividend payable, date of record   Mar. 02, 2015   Mar. 03, 2014        
Stock dividend declared   10.00%agii_CommonStockDividendRatePercentage   10.00%agii_CommonStockDividendRatePercentage 10.00%agii_CommonStockDividendRatePercentage      
Dividends declaration date   Feb. 17, 2015   Feb. 18, 2014        
Additional stock issued as dividend   2,554,506us-gaap_CommonStockDividendsShares            
Cash dividends paid - common shares, total $ 5.7us-gaap_DividendsCommonStockCash   $ 4.0us-gaap_DividendsCommonStockCash          
2013 Repurchase Authorization [Member]                
Class Of Stock [Line Items]                
Total number of shares authorized for purchase, Value         74.7us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_ShareRepurchaseProgramAxis
= agii_TwoThousandThirteenRepurchaseAuthorizationMember
  150.0us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_ShareRepurchaseProgramAxis
= agii_TwoThousandThirteenRepurchaseAuthorizationMember
 
Common shares repurchased on open market         353,054agii_StockRepurchasedDuringPeriodOnOpenMarket
/ us-gaap_ShareRepurchaseProgramAxis
= agii_TwoThousandThirteenRepurchaseAuthorizationMember
     
Common shares repurchased on open market, total cost         18.1agii_StockRepurchasedDuringPeriodOnOpenMarketValue
/ us-gaap_ShareRepurchaseProgramAxis
= agii_TwoThousandThirteenRepurchaseAuthorizationMember
     
Common shares purchased         196,864us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= agii_TwoThousandThirteenRepurchaseAuthorizationMember
     
Common shares purchased, total cost         $ 9.9us-gaap_TreasuryStockValueAcquiredCostMethod
/ us-gaap_ShareRepurchaseProgramAxis
= agii_TwoThousandThirteenRepurchaseAuthorizationMember
     
10% Stock Dividend [Member]                
Class Of Stock [Line Items]                
Dividend declared per common share       $ 0.14us-gaap_CommonStockDividendsPerShareDeclared
/ us-gaap_DividendsAxis
= agii_StockDividendMember
       
Subsequent Event [Member]                
Class Of Stock [Line Items]                
Dividend declared per common share               $ 0.20us-gaap_CommonStockDividendsPerShareDeclared
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Dividends payable date               Jun. 15, 2015
Dividend payable, date of record               Jun. 01, 2015