# 6.1 Understand percent

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By the end of this section, you will be able to:
• Use the definition of percent
• Convert percents to fractions and decimals
• Convert decimals and fractions to percents

Before you get started, take this readiness quiz.

1. Translate “the ratio of $33$ to $\text{5”}$ into an algebraic expression.
If you missed this problem, review Evaluate, Simplify and Translate Expressions .
2. Write $\frac{3}{5}$ as a decimal.
If you missed this problem, review Decimals and Fractions .
3. Write $0.62$ as a fraction.
If you missed this problem, review Decimals .

## Use the definition of percent

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.

## Percent

A percent is a ratio whose denominator is $100.$

According to data from the American Association of Community Colleges $\left(2015\right)\text{,}$ 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 $\frac{57}{100}.$ Among every 100 community college students, 57 are female.

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 $\left(2010\right)\text{,}\phantom{\rule{0.2em}{0ex}}\text{44%}$ of parents of public school children would like their youngest child to earn a graduate degree. Write this percent as a ratio.

## Solution

 The amount we want to convert is 44%. $44%$ 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.

## Solution

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. $21%$

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.

$\frac{41}{100},\text{41%}$

## Convert percents to fractions and decimals

Since percents are ratios, they can easily be expressed as fractions. Remember that percent    means per $100,$ so the denominator of the fraction is $100.$

## Convert a percent to a fraction.

1. Write the percent as a ratio with the denominator $100.$
2. Simplify the fraction if possible.

#### Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
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Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
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it is a goid question and i want to know the answer as well
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characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
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how did you get the value of 2000N.What calculations are needed to arrive at it
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