# 6.1 Understand percent

 Page 1 / 6
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 $\frac{57}{100}.$

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.

what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
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?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
Abigail
for teaching engĺish at school how nano technology help us
Anassong
How can I make nanorobot?
Lily
Do somebody tell me a best nano engineering book for beginners?
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
how can I make nanorobot?
Lily
what is fullerene does it is used to make bukky balls
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
how did you get the value of 2000N.What calculations are needed to arrive at it
Privacy Information Security Software Version 1.1a
Good
A soccer field is a rectangle 130 meters wide and 110 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance, to the nearest tenths place.
Jeannette has $5 and$10 bills in her wallet. The number of fives is three more than six times the number of tens. Let t represent the number of tens. Write an expression for the number of fives.
What is the expressiin for seven less than four times the number of nickels
How do i figure this problem out.
how do you translate this in Algebraic Expressions
why surface tension is zero at critical temperature
Shanjida
I think if critical temperature denote high temperature then a liquid stats boils that time the water stats to evaporate so some moles of h2o to up and due to high temp the bonding break they have low density so it can be a reason
s.
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?