Let $f(x)=x^{2}$. How do the values of $f(2)$ and $f(2)+5$ differ?

Step 1 ：Calculate the value of $f(2)$ by substituting $2$ into the function $f(x)=x^{2}$, which gives $f(2)=2^{2}=4$

Step 2 ：Calculate the value of $f(2)+5$ by adding $5$ to $f(2)$, which gives $f(2)+5=4+5=9$

Step 3 ：Subtract $f(2)$ from $f(2)+5$ to find the difference, which gives $9-4=5$

Step 4 ：Final Answer: The difference between the values of $f(2)$ and $f(2)+5$ is \(\boxed{5}\)