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The term ‘per cent’ means ‘out of a hundred’. In mathematics, percentages are used like fractions and decimals, as ways to describe parts of a whole. When you are using percentages, the whole is considered to be made up of a hundred equal parts. The symbol % is used to show that a number is a percentage, and less commonly the abbreviation ‘pct’ may be used.You will see percentages almost everywhere: in shops, on the internet, in advertisements and in the media. Being able to understand what percentages mean is a key skill that will potentially save you time and money and will also make you more employable.pratishat kaise nikale
calculation of percentage:
Here are steps to manually calculate percentages:
1. ✔️Determine the initial format of the number to be converted to a percentage
The number to be converted to a percentage can either be in the decimal or fraction format. For example, a decimal number is 0.57 and a fraction is 3/20. The initial format will determine the next mathematical process to be carried out on the number.pratishat kaise nikale
2. ✔️Carry out a mathematical process on the number to be converted to a percentage
If the number to be converted to a percentage is a decimal number like 0.57, you may not need to do anything before you go to the next step. However, if it is a fraction like 3/20, divide the numerator (the top number 3) by the denominator (the bottom number 20) to get a decimal number.
3. ✔️Multiply the number by 100
If you are required to convert a decimal number like 0.57 to a percentage, you simply multiply it by 100. That is, 0.57 x 100 = 57. Therefore, 0.57 as a percentage equals 57%. Another example is 0.03 x 100 = 3%.
If you are required to convert a fraction, such as 3/20 to a percentage, you should divide 3 by 20 = 0.15. Then multiply 0.15 by 100 = 15%.
How to get a percentage :
Sometimes, you will be required to calculate percentages by working backward. This is also referred to as reverse percentages and is used when the percentage and the final number are given and the original number is to be calculated.pratishat kaise nikale ,pratishat kaise nikale
✔️ For example, if 40% of a number is 500, what is the number? The following are ways to calculate the percentage by working backward:
Find the percentage of the original or real number. In this case, it’s 500.
Multiply the final number by 100. 500 x 100 = 50,000.
Divide the result of the multiplication by the percentage. 50,000 divided by 40% = 1,250. Thus, 500 is 40% of 1,250. Therefore, the original number was 1,250.
Formula to Calculate Percentage:
you know that the percentage formula is used to find the share of a whole in terms of 100. Using this formula, you can represent a number as a fraction of 100. If you observe carefully, all the three ways to get the percentage shown above can be easily calculated by using the formula given below:
Percentage= (Value/Total Value)×100
Percentage Difference Between Two Numbers:
tell me tell you though Percentage difference is the change in the value of a quantity over a period of time in terms of percentage. Sometimes we need to know the increase or decrease in some quantity as percentages, which is also referred to as Percentage Change. For example, an increase in population, a decrease in poverty, and so on.We have the formula to show the change in quantity as a percentage.
There are two cases that might arise while calculating percentage difference and those are:
✔️ Calculate percentage increase
✔️ Calculate percentage decrease
✔️ How to Calculate Percentage Increase?
know that Percentage increase refers to the perchange change in the value when it is increased over a period of time. For example, population increase, increase in the number of bacteria on a surface, etc.
Percentage increase can be calculated by using the following formula:
Percentage Increase= (Increased Value-Original value)/Original value × 100
✔️How to Calculate Percentage Decrease?
Percentage decrease refers to the perchange change in the value when it is decreased over a period of time. For example, decrease in the level of rainfall, decrease in the number of Covid patients, etc.
Percentage decrease can be calculated by using the following formula:
Percentage Decrease= (Original value-Decreased Value)/Original Value × 100
Points to Remember:
you know that to find the percentage of a whole, work out the value of 1% and then multiply it by the percent we need to find.
✔️ An increase or decrease in any quantity can be expressed as a percentage.
✔️ Fractions can be converted into percentages and vice-versa.
✔️ Percentages are reversible. For example, 25% of 40 is the same as 40% of 25.
Although the percentage formula can be written in different forms, it is essentially an algebraic equation involving three values.
P × V1 = V2
P is the percentage, V1 is the first value that the percentage will modify, and V2 is the result of the percentage operating on V1. The calculator provided automatically converts the input percentage into a decimal to compute the solution. However, if solving for the percentage, the value returned will be the actual percentage, not its decimal representation.
✔️ EX: P × 30 = 1.5
= 0.05 × 100 = 5%
If solving manually, the formula requires the percentage in decimal form, so the solution for P needs to be multiplied by 100 in order to convert it to a percent. This is essentially what the calculator above does, except that it accepts inputs in percent rather than decimal form. calculate percentage online, calculate percentage online, calculate percentage online
Percentage Difference Formula:
The percentage difference between two values is calculated by dividing the absolute value of the difference between two numbers by the average of those two numbers. Multiplying the result by 100 will yield the solution in percent, rather than decimal form. Refer to the equation below for clarification.
Percentage Difference =|V1 – V2|(V1 + V2)/2× 100
|10 – 6|= 4
(10 + 6)/2
= 0.5 = 50%
Percentage Change Formula:
Percentage increase and decrease are calculated by computing the difference between two values and comparing that difference to the initial value. Mathematically, this involves using the absolute value of the difference between two values, and dividing the result by the initial value, essentially calculating how much the initial value has changed.how to calculate %,how to calculate %,how to calculate %
The percentage increase calculator above computes an increase or decrease of a specific percentage of the input number. It basically involves converting a percent into its decimal equivalent, and either subtracting (decrease) or adding (increase) the decimal equivalent from and to 1, respectively. Multiplying the original number by this value will result in either an increase or decrease of the number by the given percent. Refer to the example below for clarification.Percentage Calculator,how to calculate %
EX: 500 increased by 10% (0.1)
500 × (1 + 0.1) = 550
500 decreased by 10%
500 × (1 – 0.1) = 450
So… this is the very fast method for calculate percentage , I hope that you have must injoy my article
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✔️How do we calculate the percentage?
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.