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What is the Percentage?

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In this article, you can also learn about the increase and decrease formula for the percentages change.

We use the concept of percentage to measure the proportion of value in terms of the original value. Percentages are widely used in business to compute business’s profit or loss percentages.

Also, we use it in schools and colleges to represent the marks obtained by the students.

The marks of the students can be estimated using a percentage formula.

Percentages are the ratio of any value to the absolute value we multiply by 100. The symbol used to represent the percentages is %.

Percentage Meaning

Percentage means a number or a ratio represented in the form of fractions of 100.

It is represented using the percentages sign ‘%.’

The abbreviations used to represent the percentages are ‘pct’ or ‘pc.’ In other words, the percentage is defined as how much of one quantity is made by another quantity and is evaluated in terms of 100.

The percentages have no dimensions.

It means they are dimensionless numbers. If we say 60% of a number, it implies 60 percent of its whole.

It can even be expressed in decimal and fraction forms, such as 0.56% or 0.87%.

We calculate students’ marks in any subject concerning the percentages in the examination. For example-Pooja scored 78% of marks in his exam.

So, we calculate the percentages in terms of total marks by Pooja in all the subjects to the total maximum marks. And then, we multiply the result by 100.

Percentage Definition

The Percentage is a relative value that indicates the hundredth parts of any quantity. One percent (1%) represents the one hundredth, 2 percent (2%) represents two hundredths, 100% means the whole, 200% twice the given quantity, and so on…

Example:

Prove 10% of 50 is equal to 50% of 10

10% of 50 = 5

50% of 10 = 5

Hence, they are equal, i.e., x % of y = y % of x holds original fractions.

Percentage Formula

We should know the percentage formulas to calculate the percentages. The basic formula used to calculate the percentages is equal to the ratio of the actual value to the total value and multiply it by 100. The formula of the percentages expressed as

Percentage % = (Actual value)

Total value∗100

The formula in Case of a Fraction

(Numerator/Denominator)∗100

Change Formula

Percentage change= (New value – Original value)

Original value∗100

Increases Formula

When the new value is greater than the original value. The percentages change in the value signifies the percentage increase in the actual number such that,

Percentage Increase (% Increase) = Increase in value

Original value×10

Here, an Increase in value = New value – original value.

Decreases Formula

When the new value is lesser than the original value. The percentages change in the value signifies the percentages decrease in the original number such that,

Percentage Decrease (% Decrease) =Decrease in value

original value×100

Here, Decrease in value = Original value – New value.