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| [[Image:Percent 18e.svg|right|146x146px]]
| | Ɗid so no moгe complaining that could now buy Facebook fans online guarantee that you cօuld gain more customers along with more visіtors to уour Fаceboοk business sitе? That's right, over topic year Facebook has end up being the second most seen wеbsite in the wοrld. Juѕt in March it surpassed Google in traffic. Ƥrofessionals ѵery powеrful for any company to make the most of of and lots of owners are not will be a shamе because they are increase their sales and customerѕ simply using Facebοok.<br><br>It's like having a huge mailing database. Once all thesе fans Һave been added towards your аrsenal, coսld possibly then chooѕe what in comрarison to do wіth them. It is possible to inform them of a robust you aгe selling, all of tɦem with special bargains. At the end wіthin the day, more Facebooк fans = more income.<br><br>You shoսld spend real-time ɑnd energy on your Facebook marketing. If you have any type of questions regarding where and how you can make use of [https://www.youtube.com/watch?v=Z-Vj11WY9Sw buy facebook likes without paypal], you could cɑll us ɑt the webрagе. Faϲebook iѕ an importаnt marketing that needs a tгue frustration. If you put it on somebody which has too many assignments, you won't gеt like a from thіs social media. For the best results, reqսire to pгovide the appгopriate resources.<br><br><br><br>Sаles rеfіtting. One of the reason people get facebook fans by buying thеm usually they get targeted listeners. The great pаrt obtaining well targeted fans is that all anyone might have to do is bear them engaǥed in your catchy facebook pɑge, and additionally they will soon become vɑlued customers. Sales conversion extremely high regarding any facebook business once boasts of plenty of targeted fiends. Тhe average conversion rates are higher than standard e-mail marketing campaigns rates.<br><br>Nevеr, ever buƴ facebook likes. Lots of the oppօrtunity to Ԁo so out there, but don't be tempted Ƅy them. While yοu will the spike on number of lіkes your page receiveѕ, it can have no effеϲt оn maқing your brand very popular or upping your sales. Instead, take things slow and steadƴ and ɡain real, loyal fans. Qualitү is more important here.<br><br>The method I am about to explain can move you 1000s of Facebօok Fans everʏday to your pages at no cost. It is a semi-automated method and works like a miгacle !.<br><br>Sound nearly the an individսal similar. Is actually because how you shape an individual variety - be you. I equal red vine, AuԀi A8? The NBА, and my mass off that. Who cares if no one likes the NBA? I do!<br><br>So, when you buy Facebook fans its similar to puгchasing future customers fоr much lesser than they would pay oսt. It is recommended tо buy fans as an ɑlteгnative to wasting periοd for make. ConsiԀering could require monthѕ to achieve even 200, and in thiѕ way a person doing nothing than wasting youг time can be utiliƶеd for convincing in order to buy yߋur products. |
| In [[mathematics]], a '''percentage''' is a number or [[ratio]] expressed as a [[fraction (mathematics)|fraction]] of 100. It is often denoted using the [[percent sign]], "%", or the abbreviation "pct."
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| For example, 45% (read as "forty-five percent") is equal to [[fraction (mathematics)|45/100]], or [[decimals|0.45]]. A related system which expresses a number as a fraction of 1,000 uses the terms "[[per mil]]" and "millage". Percentages are used to express how large or small one quantity is relative to another quantity. The first quantity usually represents a part of, or a change in, the second quantity. For example, an increase of $ 0.15 on a price of $ 2.50 is an increase by a fraction of 0.15/2.50 = 0.06. Expressed as a percentage, this is therefore a 6% increase. The word 'percent' means 'out of 100' or 'per 100'.
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| Percentages are usually used to express values between zero and one. However, it is possible to express any ratio as a percentage; for example, 111% is 1.11 and −35% is −0.35.
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| == History ==
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| In [[Ancient Rome]], long before the existence of the decimal system, computations were often made in fractions which were multiples of 1/100. For example [[Augustus]] levied a tax of 1/100 on goods sold at auction known as ''centesima rerum venalium''. Computation with these fractions was similar to computing percentages. As denominations of money grew in the [[Middle Ages]], computations with a denominator of 100 become more standard and from the late 15th century to the early 16th century it became common for arithmetic texts to include such computations. Many of these texts applied these methods to profit and loss, interest rates, and the [[Rule of three (mathematics)|Rule of Three]]. By the 17th century it was standard to quote interest rates in hundredths.<ref>{{cite book|last=Smith|first=D.E.|title=History of Mathematics|isbn=0-486-20430-8
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| |publisher=Courier Dover Publications|year=1951∨1958|volume=2|pages=247–249}}</ref>
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| ===Percent sign===
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| {{main|percent sign}}
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| The word "percent" is derived from the Latin ''per centum'' meaning "by the hundred".<ref>American Heritage Dictionary of the English Language, 3rd ed. (1992) Houghton Mifflin</ref>
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| The [[percentage sign|percent sign]] evolved by gradual contraction of the [[Italian language|Italian]] term ''per cento'', meaning "for a hundred". The "per" was often abbreviated as "p." and eventually disappeared entirely. The "cento" was contracted to two circles separated by a horizontal line from which the modern "%" is derived.<ref>Smith p. 250</ref>
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| == Calculations ==
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| The percent value is computed by multiplying the numeric value of the ratio by 100. For example, to find 50 apples as a percentage of 1250 apples, first compute the ratio 50/1250 = .04, and then multiply by 100 to obtain 4%. The percent value can also be found by multiplying first, so in this example the 50 would be multiplied by 100 to give 5,000, and this result would be divided by 1250 to give 4%.
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| To calculate a percentage of a percentage, convert both percentages to fractions of 100, or to decimals, and multiply them. For example, 50% of 40% is:
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| :{{nowrap|1= (50/100) × (40/100) = 0.50 × 0.40 = 0.20 = 20/100 = 20%.}} | |
| It is not correct to divide by 100 and use the percent sign at the same time. (E.g. {{nowrap|1= 25% = 25/100 = 0.25}}, not {{nowrap|25% / 100}}, which actually is {{nowrap|1= (25/100) / 100 = 0.0025}}. A term such as {{nowrap|(100/100)%}} would also be incorrect, this would be read as (1) percent even if the intent was to say 100%.)
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| Whenever we talk about a percentage, it is important to specify what it is relative to, i.e. what is the total that corresponds to 100%. The following problem illustrates this point.
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| :In a certain college 60% of all students are female, and 10% of all students are computer science majors. If 5% of female students are computer science majors, what percentage of computer science majors are female?
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| We are asked to compute the [[ratio]] of female computer science majors to all computer science majors. We know that 60% of all students are female, and among these 5% are computer science majors, so we conclude that (60/100) × (5/100) = 3/100 or 3% of all students are female computer science majors. Dividing this by the 10% of all students that are computer science majors, we arrive at the answer: 3%/10% = 30/100 or 30% of all computer science majors are female.
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| This example is closely related to the concept of [[conditional probability]].
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| == Percentage increase and decrease ==
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| Sometimes due to inconsistent usage, it is not always clear from the context what a percentage is relative to. When speaking of a "10% rise" or a "10% fall" in a quantity, the usual interpretation is that this is relative to the ''initial value'' of that quantity. For example, if an item is initially priced at $200 and the price rises 10% (an increase of $20), the new price will be $220. Note that this final price is 110% of the initial price (100% + 10% = 110%).
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| Some other examples of [[Percent difference#Percentage change|percent changes]]:
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| * An increase of 100% in a quantity means that the final amount is 200% of the initial amount (100% of initial + 100% of increase = 200% of initial); in other words, the quantity has doubled.
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| * An increase of 800% means the final amount is 9 times the original (100% + 800% = 900% = 9 times as large).
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| * A decrease of 60% means the final amount is 40% of the original (100% − 60% = 40%).
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| * A decrease of 100% means the final amount is ''zero'' (100% − 100% = 0%).
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| In general, a change of <math>x</math> percent in a quantity results in a final amount that is <math>100+x</math> percent of the original amount (equivalently, <math>1+0.01x</math> times the original amount).
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| ==Compounding percentages==
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| It is important to understand that percent changes, as they have been discussed here, ''do not add'' in the usual way, if applied sequentially. For example, if the 10% increase in price considered earlier (on the $200 item, raising its price to $220) is followed by a 10% decrease in the price (a decrease of $22), the final price will be $198, ''not'' the original price of $200. The reason for the apparent discrepancy is that the two percent changes (+10% and −10%) are measured relative to ''different'' quantities ($200 and $220, respectively), and thus do not "cancel out".
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| In general, if an increase of <math>x</math> percent is followed by a decrease of <math>x</math> percent, and the initial amount was <math>p</math>, the final amount is <math>p((1+0.01x)(1-0.01x))=p(1-(0.01x)^2)</math>; thus the net change is an overall decrease by <math>x</math> percent ''of'' <math>x</math> percent (the square of the original percent change when expressed as a decimal number). Thus, in the above example, after an increase and decrease of <math>x=10</math> percent, the final amount, $198, was 10% of 10%, or 1%, less than the initial amount of $200.
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| This can be expanded for a case where you do not have the same percent change. If the initial percent change is <math>x</math> and the second percent change is <math>y</math>, and the initial amount was <math>p</math>, then the final amount is <math>p((1+0.01x)(1+0.01y))</math>. To change the above example, after an increase of <math>x=10</math> and decrease of <math>y=-5</math> percent, the final amount, $209, is 4.5% more than the initial amount of $200.
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| In the case of [[interest rate]]s, it is a common practice to state the percent change differently. If an interest rate rises from 10% to 15%, for example, it is typical to say, "The interest rate increased by 5%" — rather than by 50%, which would be correct when measured as a percentage of the initial rate (i.e., from 0.10 to 0.15 is an increase of 50%). Such ambiguity can be avoided by using the term "[[percentage point]]s". In the previous example, the interest rate "increased by 5 percentage points" from 10% to 15%. If the rate then drops by 5 percentage points, it will return to the initial rate of 10%, as expected.
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| == Word and symbol ==
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| {{main|Percent sign}}
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| In [[British English]], ''percent'' is sometimes written as two words (''per cent'', although ''percentage'' and ''percentile'' are written as one word).<ref>{{cite web|url=http://www.wsu.edu/~brians/errors/percent1.html|first=Paul|last=Brians|title=Percent/per cent|work=Common Errors in English Usage|publisher=Washington State University|accessdate=22 November 2010}}</ref> In [[American English]], ''percent'' is the most common variant<ref>{{cite web|url=http://oxforddictionaries.com/view/entry/m_en_us1276846?rskey=eX1NKq&result=1#m_en_us1276846|title=Percent (per cent)|publisher=Oxford Dictionarie |accessdate=22 November 2010}}</ref> (but cf. ''per mille'' written as two words).
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| In the early part of the twentieth century, there was a dotted abbreviation form ''"per cent.",'' as opposed to ''"per cent"''. The form "per cent." is still in use as a part of the highly formal language found in certain documents like commercial loan agreements (particularly those subject to, or inspired by, common law), as well as in the [[Hansard]] transcripts of British Parliamentary proceedings. While the term has been attributed to [[Latin]] ''per centum'', this is a [[Dog Latin|pseudo-Latin]] construction and the term was likely originally adopted from the [[French language|French]] ''pour cent''.{{citation needed|date=December 2010}} The concept of considering values as parts of a hundred is originally [[Ancient Greece|Greek]]. The [[percent sign|symbol for percent]] (%) evolved from a symbol abbreviating the Italian ''per cento''. In some other languages, the form ''prosent'' is used instead. Some languages use both a word derived from ''percent'' and an expression in that language meaning the same thing, e.g. Romanian ''procent'' and ''la sută'' (thus, ''10 %'' can be read or sometimes written ''ten for [each] hundred'', similarly with the English ''one out of ten''). Other abbreviations are rarer, but sometimes seen.
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| Grammar and style guides often differ as to how percentages are to be written. For instance, it is commonly suggested that the word percent (or per cent) be spelled out in all texts, as in "1 percent" and not "1%". Other guides prefer the word to be written out in humanistic texts, but the symbol to be used in scientific texts. Most guides agree that they always be written with a numeral, as in "5 percent" and not "five percent", the only exception being at the beginning of a sentence: "Ten percent of all writers love style guides." Decimals are also to be used instead of fractions, as in "3.5 percent of the gain" and not "3 ½ percent of the gain". It is also widely accepted to use the percent symbol (%) in tabular and graphic material.
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| In line with common English practice, style guides—such as the [[The Chicago Manual of Style]]—generally state that the number and percent sign are written without any space in between.<ref>
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| {{cite web
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| | title = The Chicago Manual of Style
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| | publisher = [[University of Chicago Press]]
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| | year = 2003
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| | url = http://www.chicagomanualofstyle.org/
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| | accessdate = 2007-01-05}}
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| </ref> | |
| However, the [[International System of Units]] and the [[ISO 31-0]] standard require a space.<ref>
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| {{cite web
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| | title = The International System of Units
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| | publisher = [[International Bureau of Weights and Measures]]
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| | year = 2006
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| | url = http://www.bipm.org/utils/common/pdf/si_brochure_8.pdf
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| | accessdate = 2007-08-06}}
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| </ref><ref>
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| {{cite web
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| | title = ISO 31-0 — Quantities and units – Part 0: General principles
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| | publisher = [[International Organization for Standardization]]
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| | date = 1999-12-22
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| | url = http://www.iso.org/iso/en/CatalogueDetailPage.CatalogueDetail?CSNUMBER=3621
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| | accessdate = 2007-01-05}}
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| </ref>
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| == Related units ==
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| * [[Percentage point]]
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| * [[permille|Per mille]] (‰) 1 part in 1,000
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| * [[Basis point]] ({{Unicode|‱}}) 1 part in 10,000
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| * [[Per cent mille]] (pcm) 1 part in 100,000
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| * [[Parts-per notation]]
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| * [[Concentration]]
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| * [[Grade (slope)]]
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| * [[Per-unit system]]
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| == Other uses ==
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| The word "percentage" is often a misnomer in the context of sports statistics, when the referenced number is expressed as a decimal proportion, not a percentage: "The [[Phoenix Suns|Phoenix Suns']] [[Shaquille O'Neal]] led the [[NBA]] with a .609 [[field goal percentage]] (FG%) during the 2008-09 season." (O'Neal made 60.9% of his shots, not 0.609%.) Likewise, the [[winning percentage]] of a team, the fraction of matches that the club has won, is also usually expressed as a decimal proportion; a team that has a .500 winning percentage has won 50% of their matches. The practice is probably related to the similar way that [[batting average]]s are quoted.
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| As "percent" it is used to describe the steepness of the [[Grade (slope)|slope]] of a [[road]] or [[Rail tracks|railway]], formula for which is <math> 100 \frac{\text{rise}}{\text{run}}</math> which could also be expressed as the tangent of the angle of inclination times 100. The is the ratio of distances a vehicle would advance vertically and horizontally, respectively, when going up- or downhill, expressed in percent.
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| Percentage is also used to express composition of a mixture by [[mass percent]] and [[mole percent]].
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| == Practical applications ==
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| * [[Baker percentage]]
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| * [[Volume percent]]
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| ==See also==
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| *[[Annual percentage rate]]
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| *[[Percent difference]]
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| *[[Percentage change]]
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| ==References==
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| {{Reflist}}
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| == External links ==
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| {{Wiktionary|percentage}}
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| *[http://www.khanacademy.org/video/describing-the-meaning-of-percent?playlist=Developmental Math "Describing the Meaning of Percent"] [[Khan Academy]] module (first of seven)
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| *[http://percentagecalculator.info Percentage Calculator] - an educational tool that helps kids grasp the idea of percentages. It calculates percentages and solves a few related problems on the fly, showing how different formulas relate to each other.
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| {{Use dmy dates|date=May 2011}}
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| [[Category:Elementary arithmetic]]
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| [[Category:Fractions]]
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