The local newspaper has letters to the editor from 60 people. If this number represents 4% of all of the newspaper's readers, how many readers does the newspaper have?
Let's call the total number of readers x.
The number of readers represented by the 60 people who wrote letters to the editor is 4/100 * x = <<4/100*+x=0.04x>>0.04x.
Since 0.04x = 60, we can divide both sides of the equation by 0.04 to find x: x = 60 / 0.04 = 1500.
Therefore, the newspaper has 1500 readers. Answer: \boxed{1500}.