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A percentage is a special way of representing a portion of something. A percentage is a number that indicates a fraction made up of 100 parts. Thus, 100% means the whole thing (whatever is being measured), while 50% means one half. If you learn how to write numbers as percentages, it then becomes easy to perform multiplication and other calculations with percentages on a calculator. Some calculators even have a % button that makes the calculation even easier.
A fraction is a comparison between two numbers, usually representing the size of a part of something to the size of the whole thing. The classic example is a pie that is cut into eight, for example, equal portions. The top of the fraction, called the
The bottom of the fraction, called the
– in this case, 8.
A percentage is a special kind of fraction in which the
[2] While this is not practical when cutting slices of an actual pie, the concept of percentages is much more useful because it is standard.
If you are presented with any fraction, you can very easily convert it to a decimal number using any calculator. Just recognize that a fraction represents a division problem, and
Your calculator will give you the decimal equivalent of the fraction.
If you have a number that is already represented by a decimal, converting that to a percentage is easy. Because the decimal numbering system is based on factors of 10, you can transform a decimal number into a percentage by simply
If your decimal number consists of only one digit, you can add 0’s on the right of the number, such as turning 0.5 into 0.50 or even 0.500. These all have the same numerical value.[5]
It is useful if you can memorize the percentage representations of certain basic fractions. Because the denominator for a percentage is always 100, certain values are constant. Some basic conversions you should know include:[6]
Because percentages all represent fractions with the common denominator of 100, you can add a list of percentages without any additional work. By contrast, remember that to add fractions, you must work through the steps of finding common denominators and converting your fractions to those common denominators. With percentages, however, no additional work is necessary.
Again, because percentages represent fractions with the common denominator of 100, you do not need to do any additional work to subtract percentages. If you are working the the concept of removing some percentage from an original whole item, you should represent the whole item with the number 100 (because the whole means 100%).
If you have a problem that is initially written as 25% x 30, just
This would be 0.25 x 30 which gives the result of 7.5.[7] Similarly, if you have a division problem of 200 ÷ 10%, rewrite this as 200 ÷ 0.10 and enter this into your calculator. You will get the result of 2000.[8]
Dividing by 1/2 is the same as multiplying by 2.
A common calculation involving percentages is to find some percent “of” another number. For example, if you are in a restaurant you may want to tip 15% “of” your total bill. When working with percentages,
Therefore, 15% “of” 100, for example, means the same as 15% x 100.[9]
To calculate the percentage of the whole number, you need to first turn the percentage into a decimal as already described. Then simply multiply.[10]
resource: wikipedia
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