To find the total number of books in the library, we can use the information that \( \frac{3}{5} \) of the total number of books is equal to the number of textbooks, which is 120.
Let \( x \) be the total number of books in the library. According to the problem:
\[ \frac{3}{5}x = 120 \]
To solve for \( x \), we can multiply both sides by \( \frac{5}{3} \):
\[ x = 120 \times \frac{5}{3} \]
Calculating the right side:
\[ x = 120 \times \frac{5}{3} = 120 \times 1.6667 = 200 \]
Thus, the total number of books in the library is 200.