![]() ![]() (Think, like metres or kilograms) and it preceeded by an number or amount.įor example: “In a county in USA, only 30 percent of voters showed up to vote for the candidates at the booth” or “twenty five percent of houseowners in…” or “12 percent of runners participating in…” ‘ Percent’ – Percent is a unit of measurement used to express a specific number that is being expressed. The word ‘Percent’ and ‘Percentage’ are closely related often used interchangeably especially in mathematics assuming it does not make much of a difference and true, that they won’t affect your calculation but semantically, the two terms are not the same and incorrect usage often the terms makes them sound wrong. ![]() All of which we will study in detail later. This ability of a portion of the whole expressed as a percentage let’s us easily calculate and understand a lot of things very easily like percentage increase, decrease or change etc. This ability to express non-hundreths in terms of hundreths is an extremely useful and essential one crucial to almost all fields of business, mathematics and life today. (Don’t worry about the calculations behind how we got the percentages for now, that will be covered in detail below soon) And despite the bigger numbers, the passing percentage of Test B is 48% and actually lower than that of Test A. When the above passing numbers are expressed as percentages, we get that the passing percentage of Test A is 50%. This is where percentages are really useful. At the same time it is also very difficult to compare the Tests when there is a large difference between the scores like the above example where in one test 25 students out of a batch of 50 pass it compared to the second test where 6876 students out of a batch of 14,323 pass the test. You cannot always express things in fractions of a quarter, a half or three-fourths. In Test A, you might easily say ‘Half the students passed the Test’ but in Test B, it is very difficult to express the same. Without the use of percentages, it would be difficult to express what fraction of the students passed the tests as well as to compare which test has a higher or lower passing rate. In Test B, 6,876 students out of 14,323 pass the test. In Test A, 25 students out of 50 pass the test. \ QuestionĪn antique is sold for £550 which is a 10% increase on the price that it was originally bought for.Example: Assume we have to calculate and compare the passing rates of two different tests. If the answer is £24, then the method and answer are correct. This answer can be tested by taking 20% off £30. Multiply both sides by 100 to get 100%: \(100 \% = 0.3 \times 100 = 30\)ġ00% of the value of the top is worth £30 which means before the sale of 20%, the top cost £30. There are many ways to do this, but using a unitary method is a method that will always work.ĭivide both sides by 80 to get 1%: \(1 \% = 24 \div 80 = 0.3\) To find the original price of the item, 100% has to be found. This means that 80% of the value of the top remains ( \(100 \% - 20 \% = 80 \%\) ) and this is worth £24. The original price of the top is unknown, but no matter what this price was, this is 100% of the value. This will not work as 20% of £24 is not as much proportionally as 20% of the bigger, original amount. What price was it originally?Ī common mistake is to work out 20% of £24 and add this on to £24. ![]() ExampleĪ shop has a sale where 20% is taken off all prices. This is because 100% represents the whole amount or the full price. Calculating reverse percentagesĬalculating reverse percentages depends on knowing that before an increase or decrease in price, an item is always worth 100% of its value, no matter what that value is. Reverse percentages help us to work out the original price or value of an item after it has been increased or decreased in value, for example, following a price increase or a sale. ![]()
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