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Supplemental Condensed Consolidating Financial Information - Condensed Consolidating Statements of Cash Flow (Details) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Operating activities:      
Net cash provided by operating activities $ (314) $ 804 $ 673
Investing activities:      
Purchases of investments (1,444) (2,697) (1,929)
Proceeds from sales and maturities of investments 2,445 1,759 1,966
Purchases of property, equipment and capitalized software (30) (86) (176)
Capital contributions to subsidiaries 0 0  
Net cash received from sales of subsidiaries 190    
Net cash paid in business combinations 0 0 (48)
Capital contributions to subsidiaries     0
Dividends received from subsidiaries 0 0 0
Change in amounts due to/from affiliates 0 0 0
Other, net (18) (38) (19)
Net cash provided by (used in) investing activities 1,143 (1,062) (206)
Financing activities:      
Proceeds from senior notes offerings, net of issuance costs 0 325 0
Proceeds from borrowings under credit facility 0 300 0
Repayment of credit facility (300) 0 0
Cash paid for partial settlement of 1.125% Conversion Option (623) 0 0
Cash received for partial settlement of 1.125% Call Option 623 0 0
Cash paid for partial termination of 1.125% Warrants 549 0 0
Other, net 18 11 19
Net cash (used in) provided by financing activities (1,193) 636 19
Net (decrease) increase in cash, cash equivalents, and restricted cash and cash equivalents (364) 378 486
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 3,290 2,912 2,426
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 2,926 3,290 2,912
Eliminations      
Operating activities:      
Net cash provided by operating activities 0 0 0
Investing activities:      
Purchases of investments 0 0 0
Proceeds from sales and maturities of investments 0 0 0
Purchases of property, equipment and capitalized software 0 0 0
Capital contributions to subsidiaries 0 0  
Net cash received from sales of subsidiaries 0    
Net cash paid in business combinations     0
Capital contributions to subsidiaries     0
Dividends received from subsidiaries 0 0 0
Change in amounts due to/from affiliates 0 0 0
Other, net 0 0 0
Net cash provided by (used in) investing activities 0 0 0
Financing activities:      
Proceeds from senior notes offerings, net of issuance costs   0  
Proceeds from borrowings under credit facility   0  
Repayment of credit facility 0    
Cash paid for partial settlement of 1.125% Conversion Option 0    
Cash received for partial settlement of 1.125% Call Option 0    
Cash paid for partial termination of 1.125% Warrants 0    
Other, net 0 0 0
Net cash (used in) provided by financing activities 0 0 0
Net (decrease) increase in cash, cash equivalents, and restricted cash and cash equivalents 0 0 0
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 0 0 0
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 0 0 0
Parent Issuer      
Operating activities:      
Net cash provided by operating activities 118 166 55
Investing activities:      
Purchases of investments (136) (331) (115)
Proceeds from sales and maturities of investments 388 156 188
Purchases of property, equipment and capitalized software (22) (67) (125)
Capital contributions to subsidiaries (145) (370) (386)
Dividends received from subsidiaries 298 286 101
Change in amounts due to/from affiliates 6 (49) (18)
Other, net 0 0 6
Net cash provided by (used in) investing activities 631 (375) (349)
Financing activities:      
Proceeds from senior notes offerings, net of issuance costs 0 325 0
Proceeds from borrowings under credit facility 0 300 0
Repayment of credit facility (300) 0 0
Cash paid for partial settlement of 1.125% Conversion Option (623) 0 0
Cash received for partial settlement of 1.125% Call Option 623 0 0
Cash paid for partial termination of 1.125% Warrants 549 0 0
Other, net 19 11 20
Net cash (used in) provided by financing activities (1,192) 636 20
Net (decrease) increase in cash, cash equivalents, and restricted cash and cash equivalents (443) 427 (274)
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 513 86 360
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 70 513 86
Parent Issuer | Reportable Legal Entities      
Operating activities:      
Net cash provided by operating activities 118 166 55
Investing activities:      
Purchases of investments (136) (331) (115)
Proceeds from sales and maturities of investments 388 156 188
Purchases of property, equipment and capitalized software (22) (67) (125)
Capital contributions to subsidiaries 145 370  
Net cash received from sales of subsidiaries 242    
Net cash paid in business combinations     0
Capital contributions to subsidiaries     (386)
Dividends received from subsidiaries 298 286 101
Change in amounts due to/from affiliates 6 (49) (18)
Other, net 0 0 6
Net cash provided by (used in) investing activities 631 (375) (349)
Financing activities:      
Proceeds from senior notes offerings, net of issuance costs   325  
Proceeds from borrowings under credit facility   300  
Repayment of credit facility (300)    
Cash paid for partial settlement of 1.125% Conversion Option (623)    
Cash received for partial settlement of 1.125% Call Option 623    
Cash paid for partial termination of 1.125% Warrants 549    
Other, net 19 11 20
Net cash (used in) provided by financing activities (1,192) 636 20
Net (decrease) increase in cash, cash equivalents, and restricted cash and cash equivalents (443) 427 (274)
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 513 86 360
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 70 513 86
Other Guarantor | Reportable Legal Entities      
Operating activities:      
Net cash provided by operating activities (2) 0 (1)
Investing activities:      
Purchases of investments 0 0 0
Proceeds from sales and maturities of investments 0 0 0
Purchases of property, equipment and capitalized software 0 0 0
Capital contributions to subsidiaries 0 (2)  
Net cash received from sales of subsidiaries 0    
Net cash paid in business combinations     0
Capital contributions to subsidiaries     7
Dividends received from subsidiaries 0 0 0
Change in amounts due to/from affiliates 4 (2) (6)
Other, net 0 0 0
Net cash provided by (used in) investing activities 4 0 1
Financing activities:      
Proceeds from senior notes offerings, net of issuance costs   0  
Proceeds from borrowings under credit facility   0  
Repayment of credit facility 0    
Cash paid for partial settlement of 1.125% Conversion Option 0    
Cash received for partial settlement of 1.125% Call Option 0    
Cash paid for partial termination of 1.125% Warrants 0    
Other, net 0 0 0
Net cash (used in) provided by financing activities 0 0 0
Net (decrease) increase in cash, cash equivalents, and restricted cash and cash equivalents 2 0 0
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 0 0 0
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 2 0 0
Non-Guarantors | Reportable Legal Entities      
Operating activities:      
Net cash provided by operating activities (430) 638 619
Investing activities:      
Purchases of investments (1,308) (2,366) (1,814)
Proceeds from sales and maturities of investments 2,057 1,603 1,778
Purchases of property, equipment and capitalized software (8) (19) (51)
Capital contributions to subsidiaries (145) (368)  
Net cash received from sales of subsidiaries (52)    
Net cash paid in business combinations     (48)
Capital contributions to subsidiaries     379
Dividends received from subsidiaries (298) (286) (101)
Change in amounts due to/from affiliates (10) 51 24
Other, net (18) (38) (25)
Net cash provided by (used in) investing activities 508 (687) 142
Financing activities:      
Proceeds from senior notes offerings, net of issuance costs   0  
Proceeds from borrowings under credit facility   0  
Repayment of credit facility 0    
Cash paid for partial settlement of 1.125% Conversion Option 0    
Cash received for partial settlement of 1.125% Call Option 0    
Cash paid for partial termination of 1.125% Warrants 0    
Other, net (1) 0 (1)
Net cash (used in) provided by financing activities (1) 0 (1)
Net (decrease) increase in cash, cash equivalents, and restricted cash and cash equivalents 77 (49) 760
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 2,777 2,826 2,066
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 2,854 2,777 2,826
1.125% Notes      
Financing activities:      
Repayment of principal amount of Notes (298) 0 0
1.125% Notes | Eliminations      
Financing activities:      
Repayment of principal amount of Notes 0    
1.125% Notes | Parent Issuer      
Financing activities:      
Repayment of principal amount of Notes (298) 0 0
1.125% Notes | Parent Issuer | Reportable Legal Entities      
Financing activities:      
Repayment of principal amount of Notes (298)    
1.125% Notes | Other Guarantor | Reportable Legal Entities      
Financing activities:      
Repayment of principal amount of Notes 0    
1.125% Notes | Non-Guarantors | Reportable Legal Entities      
Financing activities:      
Repayment of principal amount of Notes 0    
1.625% Notes      
Financing activities:      
Repayment of principal amount of Notes (64) 0 0
1.625% Notes | Eliminations      
Financing activities:      
Repayment of principal amount of Notes 0    
1.625% Notes | Parent Issuer      
Financing activities:      
Repayment of principal amount of Notes (64) $ 0 $ 0
1.625% Notes | Parent Issuer | Reportable Legal Entities      
Financing activities:      
Repayment of principal amount of Notes (64)    
1.625% Notes | Other Guarantor | Reportable Legal Entities      
Financing activities:      
Repayment of principal amount of Notes 0    
1.625% Notes | Non-Guarantors | Reportable Legal Entities      
Financing activities:      
Repayment of principal amount of Notes $ 0