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?

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Answer 1 · 2017-06-08T01:13:02

See a solution process below:

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

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

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

$100 \times \frac{x}{100} = 100 \times \frac{4876}{20404}$ $color(red)(100) xx x/100 = color(red)(100) xx 4876/20404$

$cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100))) = 487600/20404$

$x = 23.9$

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