Alister McGrath, in his wonderful book Iustitia Dei: A History of the Christian Doctrine of Justification, says the following (also quoted by Wright):
The doctrine of justification has come to develop a meaning quite independent of its biblical origins, and concerns the means by which man's relationship to God is established. The church has chosen to subsume its discussion of the reconciliation of man to God under the aegis of justification, thereby giving the concept an emphasis quite absent in the New Testament. The "doctrine of justification" has come to bear a meaning within dogmatic theology which is quite independent of its Pauline origins.
There is nothing wrong with using the word "justification" in this sense but we must be careful reading this sense into Paul's use of it (or into our translation of dikaiōsis and cognates).