# Grade to percentage change calculator for perfect calculation

What is

% of

is what percent of

#### What is the percentage increase/decrease

From

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A positive answer represents a percent increase. A negative answer represents a percent decrease.

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Increase

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### Percent & Percentage

The word percent was taken from Latin per centum, it means "by the hundred". Almost all of us know about percentage from school math. It can be referred as portion out of 100. It also can be denoted as relation between two numbers with a fraction of 100. It can be also expressed with notation %. 7% express 7 portion of 100. 55% express 55 portion of 100.

It can also be expressed in decimal. It is same to say 7% and 0.70 also 55% and 0.55.

There are many usages of percent in our daily life like –

• Daily sales discount on product when we do shopping in market.
• Tax Calculation in daily life.
• Salary Increment by which percent.
• Discount calculation in restaurant bill.
• Unemployment calculation of a company.
• Service change calculation in Hospitals & restaurants.
• Bank interest rate.

Percent is used with a number and a percentage is used to illustrate a figure. Say 5 T-shirts contains red color out of 100 T-shirts. It can be expressed as 20% of T-shirts are of red color.

##### Percentage Calculator

Calculator is tool which is used for determining many mathematical expressions. Among these one is percentage calculator. Percentage calculators are used to calculate many percentage expressions. For basic usage 2 arguments are supplied and a result has been shown. There are many formula’s to calculate these percentage’s.

#### Percentage Formula

The percentage formula can be written in several different ways, but it is an arithmetic matrix with three values.

P × V1 = V2

P is the percentage, V1 is the first value that changes the percentage and V2 is the result of the percentage that runs on V1. A particular calculator will automatically convert the calculation to a decimal to calculate the answer. Expressed as a percentage, however, the return value is not a decimal representation, but a real percentage.

EX: P × 30 = 1.5

P =
 1.5 30
= 0.05 × 100 = 5%

If you solve it manually, the formula requires a percentage value in decimal form. So, for P the solution must be multiplied by 100. The above calculator basically accepts these inputs as a percentage of the input figure, not in a decimal form.

##### Formula for the percentage difference

The percentage difference between the two numbers is calculated by dividing, the actual value of the difference between the two numbers by dividing, the average of the two numbers. Then multiplying the result by 100. It gives you a percentage not decimal value. Read the equation below for explanation.

Percentage Difference=
 |V1 - V2| (V1 + V2)/2
x 100
EX:
 |10 - 6| (10 + 6)/2
=
 4 8
= 0.5 = 50%
##### Percentage conversion formula

The percentage increase and decrease is calculated by comparing the difference between the two values and comparing this difference with the starting value. Mathematically, using the absolute value of the difference between two values and dividing the result by the initial value. It calculates how much the initial value has changed.

Calculate the increase or decrease of a certain percentage using the input percentage calculator above. Basically, it's about converting a percentage into the equivalent inequality and multiplying the denominator by adding and subtracting (increasing). Multiplying the original number by this value can increase or decrease the percentage. See the example below for an explanation.

EX: 500 increased by 10% (0.1)
500 × (1 + 0.1) = 550

500 decreased by 10%
500 × (1 – 0.1) = 450