<< Chapter < Page Chapter >> Page >
This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module discusses applications of percents. By the end of the module students should be able to distinguish between base, percent, and percentage and be able to find the percentage, the percent, and the base.

Section overview

  • Base, Percent, and Percentage
  • Finding the Percentage
  • Finding the Percent
  • Finding the Base

Base, percent, and percentage

There are three basic types of percent problems. Each type involves a base, a percent, and a percentage, and when they are translated from words to mathemati­cal symbols each becomes a multiplication statement . Examples of these types of problems are the following:

  1. What number is 30% of 50? (Missing product statement.)
  2. 15 is what percent of 50? (Missing factor statement.)
  3. 15 is 30% of what number? (Missing factor statement.)

In problem 1 , the product is missing. To solve the problem, we represent the missing product with P size 12{P} {} .

P = 30% 50 size 12{"P "=" 30% " cdot "50"} {}

Percentage

The missing product P size 12{P} {} is called the percentage . Percentage means part , or por­tion . In P = 30% 50 size 12{"P "=" 30% " cdot "50"} {} , P size 12{P} {} represents a particular part of 50.

In problem 2 , one of the factors is missing. Here we represent the missing factor with Q size 12{Q} {} .

15 = Q 50 size 12{"15 "=" Q " cdot "50"} {}

Percent

The missing factor is the percent . Percent, we know, means per 100, or part of 100. In 15 = Q 50 size 12{"15 "=" Q " cdot "50"} {} , Q size 12{Q} {} indicates what part of 50 is being taken or considered. Specifi­cally, 15 = Q 50 size 12{"15 "=" Q " cdot "50"} {} means that if 50 was to be divided into 100 equal parts, then Q indicates 15 are being considered.

In problem 3 , one of the factors is missing. Represent the missing factor with B .

15 = 30% B size 12{"15 "=" 30% " cdot B} {}

Base

The missing factor is the base . Some meanings of base are a source of supply , or a starting place . In 15 = 30% B size 12{"15 "=" 30% " cdot B} {} , B size 12{B} {} indicates the amount of supply. Specifically, 15 = 30% B size 12{"15 "=" 30% " cdot B} {} indicates that 15 represents 30% of the total supply.

Each of these three types of problems is of the form

( percentage ) = ( percent ) ( base ) size 12{ \( "percentage" \) = \( "percent" \) cdot \( "base" \) } {}

We can determine any one of the three values given the other two using the methods discussed in [link] .

Finding the percentage

Sample set a

What number is 30 % of 50 ? Missing product statement. (percentage) = (percent) (base) P = 30 % 50 Convert 30% to a decimal. P = .30 50 Multiply. P = 15

Thus, 15 is 30% of 50.

Do [link] , [link] .

What number is 36 % of 95 ? Missing product statement. (percentage) = (percent) (base) P = 36 % 95 Convert 36% to a decimal. P = .36 95 Multiply P = 34.2

Thus, 34.2 is 36% of 95.

Do [link] , [link] .

A salesperson, who gets a commission of 12% of each sale she makes, makes a sale of $8,400.00. How much is her commission?

We need to determine what part of $8,400.00 is to be taken. What part indicates percentage .

What number is 12 % of 8,400.00 ? Missing product statement. (percentage) = (percent) (base) P = 12 % 8,400.00 Convert to decimals. P = .12 8,400.00 Multiply. P = 1008.00

Thus, the salesperson's commission is $1,008.00.

Do [link] , [link] .

A girl, by practicing typing on her home computer, has been able to increase her typing speed by 110%. If she originally typed 16 words per minute, by how many words per minute was she able to increase her speed?

We need to determine what part of 16 has been taken. What part indicates percentage .

What number is 110 % of 16 ? Missing product statement. (percentage) = (percent) (base) P = 110 % 16 Convert to decimals. P = 1.10 16 Multiply. P = 17.6

Thus, the girl has increased her typing speed by 17.6 words per minute. Her new speed is 16 + 17 . 6 = 33 . 6 size 12{"16 "+" 17" "." "6 "=" 33" "." 6} {} words per minute.

Do [link] , [link] .

Questions & Answers

what does nano mean?
Anassong Reply
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?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
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
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
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
Sanket Reply
what's the easiest and fastest way to the synthesize AgNP?
Damian Reply
China
Cied
types of nano material
abeetha Reply
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
Ramkumar Reply
what is nano technology
Sravani Reply
what is system testing?
AMJAD
preparation of nanomaterial
Victor Reply
how to synthesize TiO2 nanoparticles by chemical methods
Zubear
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
Good
Got questions? Join the online conversation and get instant answers!
QuizOver.com Reply

Get the best Algebra and trigonometry course in your pocket!





Source:  OpenStax, Contemporary math applications. OpenStax CNX. Dec 15, 2014 Download for free at http://legacy.cnx.org/content/col11559/1.6
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Contemporary math applications' conversation and receive update notifications?

Ask