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Problem-Solving and Data Analysis / Percentages Difficulty: Medium

The value of $z$ is $1.13$ times $100$ . The value of $z$ is what percent greater than $100$ ?

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Explanation

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