Percentages SAT question

Choice B is correct. It’s given that the value of $z$ is $1.13$ times $100$. This can be written as $z=(1.13)(100)$, which is equivalent to $z=(1+0.13)(100)$, or $z=(1+\frac{13}{100})(100)$. It follows that the value of $z$ is $100\%$ of $100$ plus $13\%$ of $100$. Therefore, the value of $z$ is $13\%$ greater than $100$.

Choice A is incorrect. This gives a value of $z$ that is $1.113$, not $1.13$, times $100$.

Choice C is incorrect. This gives a value of $z$ that is $2.30$, not $1.13$, times $100$.

Choice D is incorrect. This gives a value of $z$ that is $3.13$, not $1.13$, times $100$.