Chapter 6.1, Problem 22IP

To determine

Find the number of $83\%$ of $200$ .

Answer to Problem 22IP

The number of $83\%$ is $166$ .

Explanation of Solution

Given:

It is given in the question that the two numbers are given $83\%and200$ .

Concept Used:

In this, use the concept of percent proportion such that the ratio of given two number will equal to the ratio of $p/100$ .

Calculation:

Here,

The percent is $83$ ,and the base is $200$ . Let a represent the number.

  $\begin{array}{l}\frac{a}{200}=\frac{83}{100}\\ a\cdot 100=83\cdot 200\\ a=\frac{83\times 200}{100}\\ a=\frac{16600}{100}\\ a=166\end{array}$

Conclusion:

The number is $166$ .