# Last year there were 20,404 fans at an all-star game. This year there were 4,876 more fans. How do you estimate the percent increase?

Jun 8, 2017

See a solution process below:

#### Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as $\frac{x}{100}$.

Therefore the problem can be written and solve for $x$ as:

$\frac{x}{100} = \frac{4876}{20404}$

$\textcolor{red}{100} \times \frac{x}{100} = \textcolor{red}{100} \times \frac{4876}{20404}$

$\cancel{\textcolor{red}{100}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} = \frac{487600}{20404}$

$x = 23.9$

There was a 23.9% increase (rounded to the nearest tenth) in attendance.