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Supplemental Condensed Consolidating Financial Information - Cash Flows (Details) - USD ($)
$ in Millions
 6 Months Ended
Jun. 30, 2018
Jun. 30, 2017
Operating activities:    
Net cash provided by operating activities $ 314 $ 672
Investing activities:    
Purchases of investments (914) (1,636)
Proceeds from sales and maturities of investments 1,335 874
Purchases of property, equipment and capitalized software (14) (60)
Capital contributions to subsidiaries 0 0
Dividends from subsidiaries 0 0
Change in amounts due to/from affiliates 0 0
Other, net (9) (24)
Net cash provided by (used in) investing activities 398 (846)
Financing activities:    
Repayment of credit facility (300) 0
Repayment of 1.125% Convertible Notes (89) 0
Cash paid for partial settlement of 1.125% Conversion Option (134) 0
Cash received for partial termination of 1.125% Call Option 134 0
Cash paid for partial termination of 1.125% Warrants (113) 0
Proceeds from senior notes offerings, net of issuance costs   325
Other, net (1) 8
Net cash (used in) provided by financing activities (503) 333
Net increase in cash, cash equivalents, and restricted cash and cash equivalents 209 159
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 3,290 2,912
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 3,499 3,071
Eliminations    
Operating activities:    
Net cash provided by operating activities 0 0
Investing activities:    
Purchases of investments 0 0
Proceeds from sales and maturities of investments 0 0
Purchases of property, equipment and capitalized software 0 0
Capital contributions to subsidiaries 0 0
Dividends from subsidiaries 0 0
Change in amounts due to/from affiliates 0 0
Other, net 0 0
Net cash provided by (used in) investing activities 0 0
Financing activities:    
Repayment of credit facility 0  
Repayment of 1.125% Convertible Notes 0  
Cash paid for partial settlement of 1.125% Conversion Option 0  
Cash received for partial termination of 1.125% Call Option 0  
Cash paid for partial termination of 1.125% Warrants 0  
Proceeds from senior notes offerings, net of issuance costs   0
Other, net 0 0
Net cash (used in) provided by financing activities 0 0
Net increase in cash, cash equivalents, and restricted cash and cash equivalents 0 0
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 0 0
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 0 0
Parent Guarantor | Reportable Legal Entities    
Operating activities:    
Net cash provided by operating activities 49 90
Investing activities:    
Purchases of investments (136) (330)
Proceeds from sales and maturities of investments 303 127
Purchases of property, equipment and capitalized software (9) (45)
Capital contributions to subsidiaries (117) (238)
Dividends from subsidiaries 60 120
Change in amounts due to/from affiliates 75 (34)
Other, net 0 0
Net cash provided by (used in) investing activities 176 (400)
Financing activities:    
Repayment of credit facility (300)  
Repayment of 1.125% Convertible Notes (89)  
Cash paid for partial settlement of 1.125% Conversion Option (134)  
Cash received for partial termination of 1.125% Call Option 134  
Cash paid for partial termination of 1.125% Warrants (113)  
Proceeds from senior notes offerings, net of issuance costs   325
Other, net (1) 8
Net cash (used in) provided by financing activities (503) 333
Net increase in cash, cash equivalents, and restricted cash and cash equivalents (278) 23
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 513 86
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 235 109
Other Guarantors | Reportable Legal Entities    
Operating activities:    
Net cash provided by operating activities 9 44
Investing activities:    
Purchases of investments 0 0
Proceeds from sales and maturities of investments 0 0
Purchases of property, equipment and capitalized software (3) (9)
Capital contributions to subsidiaries 0 2
Dividends from subsidiaries (10) 0
Change in amounts due to/from affiliates 1 2
Other, net (14) (13)
Net cash provided by (used in) investing activities (26) (18)
Financing activities:    
Repayment of credit facility 0  
Repayment of 1.125% Convertible Notes 0  
Cash paid for partial settlement of 1.125% Conversion Option 0  
Cash received for partial termination of 1.125% Call Option 0  
Cash paid for partial termination of 1.125% Warrants 0  
Proceeds from senior notes offerings, net of issuance costs   0
Other, net 0 0
Net cash (used in) provided by financing activities 0 0
Net increase in cash, cash equivalents, and restricted cash and cash equivalents (17) 26
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 28 6
Cash, cash equivalents, and restricted cash and cash equivalents at end of period 11 32
Non-Guarantors | Reportable Legal Entities    
Operating activities:    
Net cash provided by operating activities 256 538
Investing activities:    
Purchases of investments (778) (1,306)
Proceeds from sales and maturities of investments 1,032 747
Purchases of property, equipment and capitalized software (2) (6)
Capital contributions to subsidiaries 117 236
Dividends from subsidiaries (50) (120)
Change in amounts due to/from affiliates (76) 32
Other, net 5 (11)
Net cash provided by (used in) investing activities 248 (428)
Financing activities:    
Repayment of credit facility 0  
Repayment of 1.125% Convertible Notes 0  
Cash paid for partial settlement of 1.125% Conversion Option 0  
Cash received for partial termination of 1.125% Call Option 0  
Cash paid for partial termination of 1.125% Warrants 0  
Proceeds from senior notes offerings, net of issuance costs   0
Other, net 0 0
Net cash (used in) provided by financing activities 0 0
Net increase in cash, cash equivalents, and restricted cash and cash equivalents 504 110
Cash, cash equivalents, and restricted cash and cash equivalents at beginning of period 2,749 2,820
Cash, cash equivalents, and restricted cash and cash equivalents at end of period $ 3,253 $ 2,930