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. Example: Assume we have to calculate and compare the passing rates of two different tests.
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