What is the difference in leadership and being a leader?

Certain authors who write about leadership indicate 2-3% of people in the world are leaders. Another segment of authorship claims everyone has influence. Thus, we are all leaders to a degree. The exercise of our influence may determine the type of leader we are or are not.

Leadership, however, seems to indicate the use of power to direct a group of individuals toward an objective, purpose, vision, or certain goals associated with these areas.

If we make this distinction, then the number of those who possess the authority to direct is fewer. Additionally, few desire this authority.