That's basically the definition of Evangelical that I've been using. Here's a Wiki article on Evangelicalism.
Commentators and historians describe four characteristics of evangelicals:
1. Emphasis on the conversion experience, also called being saved, or new birth or born again after John 3:3. Thus evangelicals often refer to themselves as born-again Christians. This experience is said to received by "faith alone" and to be given by God as the result of "grace alone."
2. The Protestant canon of the Bible as the primary, or only, source of religious authority, as God's revelation to humanity. Bible prophecy, especially as interpreted according to dispensationalism, is often emphasized. Thus, the doctrine of "sola scriptura" is often affirmed and emphasized.
3. Encouragement of evangelism (the act of sharing one's beliefs) -- in organized missionary work or by personal encounters and relationships with others.
4. A central focus on Christ's redeeming work on the cross as the only means for salvation and the forgiveness of sins.