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Unpaid losses and loss adjustment expenses - Narrative (Detail) - USD ($)
3 Months Ended 9 Months Ended
Feb. 02, 2017
Sep. 30, 2017
Sep. 30, 2017
Sep. 30, 2016
Dec. 31, 2016
Dec. 31, 2015
Liability for Claims and Claims Adjustment Expense [Line Items]            
Incurred losses and loss adjustment expenses with respect to current accident year events     $ 28,632,000,000 $ 22,737,000,000    
Incurred losses and loss adjustment expenses for (reductions of) prior years' accident events     (510,000,000) (1,453,000,000)    
Losses and loss adjustment expenses     11,328,000,000 1,041,000,000    
Liability for unpaid losses and loss adjustment expenses   $ 100,138,000,000 100,138,000,000 75,469,000,000 $ 76,918,000,000 $ 73,144,000,000
Hurricanes Harvey, Irma and Maria and an Earthquake in Mexico [Member]            
Liability for Claims and Claims Adjustment Expense [Line Items]            
Incurred losses and loss adjustment expenses with respect to current accident year events   $ 3,000,000,000        
Primary Insurance [Member]            
Liability for Claims and Claims Adjustment Expense [Line Items]            
Incurred losses and loss adjustment expenses for (reductions of) prior years' accident events     $ (569,000,000) (756,000,000)    
Reinsurance Operations [Member]            
Liability for Claims and Claims Adjustment Expense [Line Items]            
Incurred losses and loss adjustment expenses for (reductions of) prior years' accident events       $ (697,000,000)    
NICO [Member] | AIG [Member] | Retroactive Reinsurance Agreement [Member]            
Liability for Claims and Claims Adjustment Expense [Line Items]            
Reinsurance cash consideration $ 10,200,000,000          
Percentage of losses and allocated loss adjustment expenses reinsured in excess of retained amount 80.00%          
Losses and allocated loss adjustment expenses retained amount $ 25,000,000,000          
Premiums earned 10,200,000,000          
Losses and loss adjustment expenses 10,200,000,000          
Liability for unpaid losses and loss adjustment expenses 16,400,000,000          
Deferred charges reinsurance assumed 6,200,000,000          
NICO [Member] | AIG [Member] | Retroactive Reinsurance Agreement [Member] | Maximum [Member]            
Liability for Claims and Claims Adjustment Expense [Line Items]            
Losses and allocated loss adjustment expenses reinsured in excess of retained amount $ 25,000,000,000