| Document and Entity Information | Feb. 26, 2020 |
| Document Information [Line Items] | |
| Document Type | 8-K |
| Document Period End Date | Feb. 26, 2020 |
| Entity Registrant Name | LIBERTY TRIPADVISOR HOLDINGS, INC. |
| Entity Incorporation, State or Country Code | DE |
| Entity File Number | 001-36603 |
| Entity Tax Identification Number | 46-3337365 |
| Entity Address, Address Line One | 12300 Liberty Blvd. |
| Entity Address, City or Town | Englewood |
| Entity Address, State or Province | CO |
| Entity Address, Postal Zip Code | 80112 |
| City Area Code | 720 |
| Local Phone Number | 875-5200 |
| Written Communications | false |
| Soliciting Material | false |
| Pre-commencement Tender Offer | false |
| Pre-commencement Issuer Tender Offer | false |
| Entity Emerging Growth Company | false |
| Entity Central Index Key | 0001606745 |
| Amendment Flag | false |
| Series A | |
| Document Information [Line Items] | |
| Title of 12(b) Security | Series A common stock |
| Trading Symbol | LTRPA |
| Security Exchange Name | NASDAQ |
| Series B | |
| Document Information [Line Items] | |
| Title of 12(b) Security | Series B common stock |
| Trading Symbol | LTRPB |
| Security Exchange Name | NASDAQ |
