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Before you get started, take this readiness quiz.
How many cents are in one dollar? There are $100$ cents in a dollar. How many years are in a century? There are $100$ years in a century. Does this give you a clue about what the word “percent” means? It is really two words, “per cent,” and means per one hundred. A percent is a ratio whose denominator is $100.$ We use the percent symbol $\text{\%,}$ to show percent.
A percent is a ratio whose denominator is $100.$
According to data from the American Association of Community Colleges $(2015)\text{,}$ about $\text{57\%}$ of community college students are female. This means $57$ out of every $100$ community college students are female, as [link] shows. Out of the $100$ squares on the grid, $57$ are shaded, which we write as the ratio $\frac{57}{100}.$
Similarly, $\text{25\%}$ means a ratio of $\frac{25}{100},\text{3\%}$ means a ratio of $\frac{3}{100}$ and $\text{100\%}$ means a ratio of $\frac{100}{100}.$ In words, "one hundred percent" means the total $\text{-100\%-}$ is $\frac{100}{100},$ and since $\frac{100}{100}=1,$ we see that $\text{100\%}$ means $1$ whole.
According to the Public Policy Institute of California $(2010)\text{,}\phantom{\rule{0.2em}{0ex}}\text{44\%}$ of parents of public school children would like their youngest child to earn a graduate degree. Write this percent as a ratio.
The amount we want to convert is 44%. | $\mathrm{44\%}$ |
Write the percent as a ratio. Remember that percent means per 100. | $\frac{44}{100}$ |
Write the percent as a ratio.
According to a survey, $\text{89\%}$ of college students have a smartphone.
$\frac{89}{100}$
Write the percent as a ratio.
A study found that $\text{72\%}$ of U.S. teens send text messages regularly.
$\frac{72}{100}$
In $2007,$ according to a U.S. Department of Education report, $21$ out of every $100$ first-time freshmen college students at $\text{4-year}$ public institutions took at least one remedial course. Write this as a ratio and then as a percent.
The amount we want to convert is $21$ out of every $100.$
Write as a ratio. | $\frac{21}{100}$ |
Convert the 21 per 100 to percent. | $\mathrm{21\%}$ |
Write as a ratio and then as a percent: The American Association of Community Colleges reported that $62$ out of $100$ full-time community college students balance their studies with full-time or part time employment.
$\frac{62}{100},\text{62\%}$
Write as a ratio and then as a percent: In response to a student survey, $41$ out of $100$ Santa Ana College students expressed a goal of earning an Associate's degree or transferring to a four-year college.
$\frac{41}{100},\text{41\%}$
Since percents are ratios, they can easily be expressed as fractions. Remember that percent means per $100,$ so the denominator of the fraction is $100.$
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