What are the percentages

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What are the percentages


A relative value indicating one hundredth of any quantity, called a percentage.

In mathematics, a percentage (from Latin percentage “to a hundred”) is a number or ratio expressed as a fraction of 100. It is often represented using the percent sign, “%”, although the abbreviations “pct.”, “pct” and sometimes “pc” are also used. Percentage is a dimensionless number (pure number). It has no unit of measurement.


Percentage= (Value/Total Value)×100

Example 1

If 50% of the total number of students in the class are males, it means that out of every 100 students, 50 are males. If there are 500 students, then 250 of them are males.

Example 2

How to solve 1/2 as a percentage ?

Converting a fraction like 1/2 to its percentage format is a very simple and useful math skill.

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Which will help students understand fractions and express them in different ways.

In this article, we will show you how to convert fractions to percentages.

There are two main ways to express a fraction as a percentage:

  1. Divide 100 by the numerator, and then multiply both numerator and denominator by the answer.
  2. Convert the fraction to a decimal first, then multiply the answer by 100.

The first step is to make sure we understand all the terms of the problem we are trying to solve.

* Numerator

This is the number above the fraction line. For
, the numerator is 1.

* Denominator

This is the number below the fraction line. For
, the denominator is 2.

* Parcentage

“per cent” means parts per hundred.

so saying 1 %, for example, is the same as the fraction 1/100

We need to know that,

Which formula is used to express the fraction ( a / b ) in percentage?

Formula \displaystyle =\left( {\frac{a}{b}\times 100} \right)\%

now question wise,

suppose that
a = 1
b = 2

Substituting the value of a , b on the formula

\displaystyle =\left( {\frac{1}{2}\times 100} \right)\%

\displaystyle =\left( {\frac{{100}}{2}} \right)\%

\displaystyle =(50)\%

Thus the value of 1/2 percent after complete solution = 50% Answer



The term “percentage” was adapted from the Latin word “per centum”, which means “by the hundred”. Percentages are fractions with 100 as the denominator. In other words, it is the relation between part and whole where the value of whole is always taken as 100.

What is Percentage?

Percentage is a fraction or a ratio in which the value of whole is always 100. For example, if Sam scored 30% marks in his math test, it means that he scored 30 marks out of 100. It is written as 30/100 in the fraction form and 30:100 in terms of ratio.

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Percentage Definition:

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol “%”.

Calculation of Percentage

Calculating percentage means to find the share of a whole, in terms of 100. There are two ways to find a percentage:

  • By using the unitary method.
  • By changing the denominator of the fraction to 100.

It should be noted that the second method for calculating percentage is not used in situations where the denominator is not a factor of 100. For such cases we use the unitary method.

How to get a Percentage?

Percent is another name for indicating hundredths. Thus, 1% is one-hundredth, that means 1%=1/100=0.01.

Let’s calculate percentage using the two methods given above. 

When we have two or more values that add up to 100, then the percentage of those individual values to the total value is that number itself.


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