How to get current yield?

Can you please elaborate on the process of obtaining current yield? I understand it's a crucial metric in assessing the performance of a fixed-income investment, but I'm not entirely clear on how to calculate it. Is it simply dividing the annual interest payment by the current market price of the bond? And if so, what are some factors that could influence the current market price, thereby affecting the current yield? Additionally, how does current yield differ from other yield metrics like yield to maturity, and why is it important to consider both when making investment decisions?