Answer:
178
Explanation:
Method 1: Set up a proportion
Set up an equation of the form:
\frac{\color{red}{\text{part}}}{\color{orange}{\text{whole}}}=
whole
part
=
\,\,\frac{\color{blue}{\text{percent}}}{100}
100
percent
Assign the variable xx to the unknown value:
\color{red}{x}=
x=
\,\,\color{red}{\text{part}}
part
The question asks what \textit{part}part of the total questions is 89%
Substitute the known values with the numbers given in the problem, and the unknown value with xx:
\frac{\color{red}{x}}{\color{orange}{200}}=
200
x
=
\,\,\frac{\color{blue}{89}}{100}
100
89
Solve for xx:
100\cdot\color{red}{x}=
100⋅x=
\,\,\color{orange}{200}\cdot\color{blue}{89}
200⋅89
Cross multiply
\frac{100x}{100}=
100
100x
=
\,\,\frac{17800}{100}
100
17800
Divide both sides by 100
178
Simplify
Method 2: Convert to decimal and multiply
{89}{100}=0.89
89%=
100
89
=0.89
Move decimal 2 places to the left
{Multiply result by the total:}
Multiply result by the total:
0.89{200}=
0.89⋅200=
178
number
percent
178
89%
200
100%