Question

84% of what is 147?

Answer 1

147 is 84% of 175

Explanation:

`\bold{METHOD\ 1:}\\\\p\%=(p)/(100)\to84\%=(84)/(100)=0.84\\\\84\%\ \text{of}\ x\ \text{is}\ 147\to0.84x=147\qquad\text{divide both sides by 0.84}\\\\x=175\\\\\bold{METHOD\ 2:}\\\\\begin{array}{ccc}100\%&-&x\\84\%&-&147\end{array}\qquad\text{cross multiply}\\\\84x=(100)(147)\\84x=14700\qquad\text{divide both sides by 84}\\x=175`

Answer 2

175.

Explanation:

In this question, translate the words into the symbols. "84" is 84, "%" is 1/100, "what" is x, the unknown, "of" is *, "is" is =, and "175" is 175. Therefore the words can be translated into an equation given below:

84 * x / 100 = 147

84x = 14700

x = 175.

Therefore, 84% of 175 is 147!!!