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Showing posts with label Mathematics. Show all posts
Showing posts with label Mathematics. Show all posts

## Percentage Calculator & How To Calculate Percentage

November 29, 2019 Percentage Calculator & How To Calculate Percentage
Introduction To Percentage
A word percentage is a term from Latin & derived from 'percent'. Percent means out of a hundred. So, 20% means 20 per 100. The symbol of the percentage is % and it is also abbreviated by 'pct'. Percentages are using in our daily life like shops, mobile phones, banks, rates of change and media statistics, etc.

## Percentage Calculator

The Percentage Calculator is a free online tool to calculate percentages quickly. You just have to input the values in the percent calculator and click the calculate button to get the answer.

 Percentage Calculator What is  % of ? Answer: is what percent of ? Answer:  % What is the percentage increase/decrease from  to ? Answer:  %
Instructions:
Use the tab button on the keyboard to move in the next field and for moving in the previous field use the shift-tab button.
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## How To Calculate Percentage

The percentage is basically a short way to express decimal just between 0 and 100. We generally use a percentage instead of decimal everywhere. So to calculate percentage of a number, it is quite an easy method just use the formula that is given below.
Percentage Formula:
(Obtain Value ÷ Original Value) x 100
For Example:
If a student obtains 75 numbers out of 80 then find percentage?
To calculate percentage of a number, we have a specific formula that is written just above in the formula section.
Data:
Obtain Marks = Obtain Value = 75
Total Marks = Total Value = 80
Solution:
(75 ÷ 80) x 100 = 93.75 %
Results:
The percentage of a number is 93.75 %.
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## How To Convert Percentage To Decimal

In order to convert % to decimal just replace the percentage sign % from the number and divide it by 100.
Formula:
Number % = Number ÷ 100 = Number or Decimal
For Example:
85.5% = 85.5 ÷ 100 = 0.855
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## How To Convert Decimal To Percentage

In order to convert decimal to % multiply the number by 100 and add the percentage sign % with it.
Formula:
Number or Decimal = Number x 100 = Number %
For Example:
0.855 = 0.855 x 100 = 85.5 %
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## How To Calculate Percentage Change

Percentage change means the percentage difference. If we are talking about percentage change then there are two possibilities:
1.Percentage Increase
2.Percentage Decrease
Percentage change should be one at a time it may increase or decrease not both at the same time.
In mathematics, it is a change from one number to another and expresses as an increase or decrease in percentage.
For example:
From 5 mobiles to 15 mobiles there is a 100% change (increase) in the number of mobiles. Similarly, from 15 mobiles to 5 mobiles there is a 100% change (decrease) in the number of mobiles.
As percentage change is divided into two categories Percentage Increase and Percentage Decrease so in order to calculate percentage change we have to calculate the above two categories.
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## How To Calculate Percentage Increase

Percentage Increase is the amount of increase from the original to a new or final value in terms of 100 parts of the original value. The percentage increase is arrived by comparing the original and new values according to the specific formula. In the case, If your answer is negative then it is a percentage decrease.
Percentage Increase Formula:
Increase = New Value - Original Value
Percentage (%) Increase = Increase ÷ Original × 100
Where the Original value will not be equal to 0.
For Example:
If the monthly income of a person is increased from 60,000 to 90,000 what will be the percentage increase?
In order to calculate percentage increase, we have a definite formula that is written just above in the formula section.
Data:
New Value = 90,000
Original Value = 60,000
Solution:
Increase = 90,000-60,000 = 30,000
Percentage Increase = 30,000 ÷ 60,000 x 100 = 50 %
Results:
Income of the person is increased by 50 %.
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## How To Calculate Percentage Decrease

Percentage Decrease is the amount of decrease from the original value to a new value in terms of 100 parts of the original value. For calculating percentage decrease compare the original and new value according to a specific formula. In case, If your answer is negative then it is a percentage increase.
Percentage Decrease Formula:
Decrease = Original Value - New Value
Percentage (%) Decrease = Decrease ÷ Original × 100
Where the Original value will not be equal to 0.
For example:
If the number of sales of the laptop is decreased from 75 to 50 per month what will be the percentage decreased?
In order to calculate percentage decrease, we have a definite formula that is written just above in the formula section.
Data:
New Value =50
Original Value = 75
Solution:
Decrease = 75-50 = 25
Percentage Decrease = 25 ÷ 75 x 100 = 33.33 %
Results:
Sale of the laptop is decreased by 33.33 %.
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## How To Calculate Percentage Discount

Nowadays, it is an important thing to know about how to calculate percentage off or percentage discount because, in every market, restaurant, shops, trade, and for your own servicing percentage discount has been used. The basic way to calculate discount is to multiply the original price with discount decimal/number means without percentage and divide it by 100. This solution is then subtracted from the original price in order to get the discount price. A quite simple formula to calculate percentage discount is given below.
Formula:
Discount Price = Orignal Price - (Orignal Price x Discount / 100)
For Example:
If the original price of the mobile phone is \$500 there is a discount of 25% on it so what will be the discount price?
Data:
Original Price = \$500
Discount = 25%
Solution:
Discount Price = \$500 - (\$500 x 25 / 100) = \$375
Results:
So you have saved \$125 from this purchase.
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## How To Calculate Percentage From CGPA

As in every school, colleges, university final result of subjects are expressed in Cumulative Grade Point Average (CGPA) so most of the time it is important to know how much percentage you have in the exam. The scale of CGPA is different in different countries and universities the general scale is
10. e.g In Pakistan Scale is 4. It is quite an easy method to calculate percentage from CGPA.
Formula:
CGPA x 9.5 = Percentage %
For Example:
If your CGPA is 8.9 then what will be the percentage?
Data:
CGPA = 8.9
Solution:
8.9 x 9.5 = 84.55 %
Results:
8.9 CGPA has 84.55 %.
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## How To Calculate CGPA From Percentage

Here for calculating CGPA just divide the got percentage by 9.5.
Formula:
Percentage ÷ 9.5 = CGPA
For Example:
If your percentage is 84.55% what will be CGPA?
Data:
Percentage = 84.55%
Solution:
84.55 ÷ 9.5 = 8.9 CGPA
Results:
84.55 % have 8.9 CGPA.
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## How To Calculate Percentage Error

Percentage error is an expression of the difference between the experimental and theoretical values. It is mostly used in science experiments to report the variance between experimental and theoretical values. The percentage error may be positive and negative so in order to get any type of confusion absolute value is used.
Formula:
Percentage Error = { |Experimental -Theoretical| ÷ |Theoretical| } x100
For Example:
Suppose if an experiment of boiling alcohol the boiling point that we find is 89°C but the theoretical boiling pint of alcohol is 78.37°C. What will be the percentage error?
Data:
Experimental Boiling Point = 89°C
Theoretical Boiling Point = 78.37°C
Solution:
Percentage Error = { |89-78.37| ÷ |100| } x 100 = 10.63%
Results:
Here in this experiment percentage error is 10.63%.
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Editors' Recommendations:
1. Percentage Calculator Online.
Note: