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Commitments, contingencies, and guarantees (Narrative) (Detail) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2010
Financial Instruments Owned and Pledged as Collateral [Line Items]        
Derivative Liability, Fair Value, Amount Subject to a Master Netting Agreement $ 30 $ 75    
Securities Sold under Agreements to Repurchase $ 1,405 $ 1,416    
Concentration Risk Percentage Marsh 12.00% 12.00% 10.00%  
Purchase Commitment, Remaining Minimum Amount Committed $ 605      
Carrying value of limited partnerships and partially-owned investment companies included in other investments 6,500 $ 4,700    
Funding commitments relating to limited partnerships and partially-owned investment companies 3,200 3,300    
Line of Credit Facility, Current Borrowing Capacity       $ 4,000
Line of Credit Facility, Capacity Available for Specific Purpose Other than for Trade Purchases 1,900      
Operating Lease, Right-of-Use Asset 473 551    
Operating Lease, Liability $ 517 603    
Operating Lease, Weighted Average Remaining Lease Term 4 years 10 months 24 days      
Operating Lease, Weighted Average Discount Rate, Percent 2.60%      
Total rental expense related to operating leases $ 152 171 $ 169  
Deposit Assets $ 107 $ 93    
Operating Lease, Liability, Statement of Financial Position [Extensible List] us-gaap:OtherLiabilities us-gaap:OtherLiabilities    
Repurchase agreements $ 1,405 $ 1,416    
Letter of Credit [Member]        
Financial Instruments Owned and Pledged as Collateral [Line Items]        
Line of Credit Facility, Amount Outstanding $ 1,700      
Huatai Group [Member]        
Financial Instruments Owned and Pledged as Collateral [Line Items]        
Ownership Percentage 47.10%      
CHINA | Huatai Group [Member]        
Financial Instruments Owned and Pledged as Collateral [Line Items]        
Equity method investment, additional 22.4 ownership percentage obtained   22.40%    
Ownership Percentage 47.00% 31.00%