Answer:
21%
Explanation:
First find the whole, the total number of attendees:
714 \text{ home} + 2686 \text{ visiting} = \color{orange}{3400} \text{ total attendees}
714 home+2686 visiting=3400 total attendees
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{blue}{x}=
x=
\,\,\color{blue}{\text{percent}}
percent
The question asks what \textit{percent}percent of all the attendees is 714
Substitute the known values with the numbers given in the problem, and the unknown value with xx:
\frac{\color{red}{714}}{\color{orange}{3400}}=
3400
714
=
\,\,\frac{\color{blue}{x}}{100}
100
x
Solve for xx:
100\cdot\color{red}{714}=
100⋅714=
\,\,\color{orange}{3400}\cdot\color{blue}{x}
3400⋅x
Cross multiply
\frac{71400}{3400}=
3400
71400
=
\,\,\frac{3400x}{3400}
3400
3400x
Divide both sides by 100
\color{blue}{21\%}=
21%=
\,\,\color{blue}{x}
x
Simplify
Method 2: Find percent directly
\text{Find \(714\) out of \(3400\) as a decimal:}
Find 714 out of 3400 as a decimal:
\frac{\color{red}{714}}{\color{orange}{3400}}=
3400
714
=
\,\,0.21
0.21
\text{Convert decimal to percent:}
Convert decimal to percent:
0.21\times100=
0.21×100=
\,\,\color{blue}{21\%}
21%