Chapter 7, Problem 37CR

To determine

To Calculate: What percentage of a number is another number, using the percent equation.

Answer to Problem 37CR

  $104$ is $80$ percent of $130$ .

Explanation of Solution

Given Information: The base number is $130$ and the other number is $104$ .

Method: The percent equation is $a=p\%\cdot b$ and it represents the sentence “ $a$ is $p\%$ of $b$ ”.

• Put the given values of $a$ and $b$ in the equation.
• Solve the equation algebraically for $p\%$ .
• Convert the value of $p\%$ from decimal form to percent form by moving the decimal point $2$ places to the right and suffixing the $\%$ sign.

Put the given values in the percent equation to write

  $104 = p\%\cdot 130$

Divide the equation by $130$ to get

  $p\%=\frac{108}{130}=0.8$

To write $0.8$ as a percent, move the decimal point $2$ places to the right and then suffix a $\%$ sign.

So, $0.8$ written as a percent is $80\%$ and

  $p\%=80\%$

Therefore, $104$ is $80\%$ of $130$ .