The fraction form of 0.375 is 375/1000. Let’s simplify this fraction. The common factor of the two numbers is 5. With this in mind, how simple can this fraction go? Since there are 12 blonde students out of a total of 80 students, the ratio of blonde students is: R = 12 / 80 To display these as exact values, you must express them as fractions. You can, of course, get an approximate answer by rounding it off. In most practical cases, it’s not an issue. Of course, you don’t need to fret at all if you deal with 99.9999(…)%. In the most familiar model of arithmetic, you can go ahead and say it’s 100%. The system of using percentages came long before the idea of decimals. People have used fractions to calculate taxation and tithes for millennia. It was the Ancient Romans, however, who popularized the use of fractions based on 100. The word itself comes from the phrase per centum. This means “by 100” in Latin, the Roman language.

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Both are found in specific circumstances. Scientists use permilles in measuring trace amounts in solutions. The concentrations in these cases are very low. Permyriads, meanwhile, find use in the realm of finance. Financial professionals use them to measure basis points, which are far lower than percentage points. Percentages as a Measurement Enter two numbers and this calculator will compute what percent of the second number the first number represents to one thousandth of a percent. Numerator Denominator Comparing these ratios might be a bit complicated, but if we write them in terms of percentages, they are equivalent: 25%, which is 25 out of 100.

Comparing portion sizes is one key to the popularity of percentages. People find it easier to compare percentages than fractions. This is the reason why third pound burgers never quite took off in the United States. The target audience didn’t realize that these were heavier than quarter pound burgers. Thus, even marketing departments often use percentages over fractions to tout larger sizes. If you think something is wrong or if you would like to add something, open an issue or a pull request! One percent is one hundredth. We use a % to indicate it. So 5 percent is the same as 5%, 0.05, 5/100 or five hundredths. It is that simple!

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This example shows the practicality of the widespread use of percentages, which is why we need to be able to understand and calculate percentages. We tend to misunderstand percentages, especially for something we use all the time. Fortunately, we can avoid some of the most egregious missteps. A good way to avoid mistakes is to clarify how we use percentages in a given context. Out of 100 colored boxes, 17 are white and 83 are colored. Thus, we can say that 17% of the box is white, while 83% of the box is colored.

Often, they involve measuring exponential growth or size differences. A 50% growth rate, for instance, indicates that something grows by half its size or value. A rate of 200% shows growth that’s twice the original value, and so on.

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Recall the above example: in a class of 80 students, 12 are blonde. We calculate the percentage of blonde students by applying a rule of three (using a table):During the reign of the Emperor Augustus (23 BCE – 14 CE), the Imperial government began to charge a tax on auctions. Called centesima rerum venalium, it cost 100th of the value of the goods sold. This tax helped pay for the retirement stipends of the Roman legionary army. It is forgivable to assume that the percentage sign "%" depicts a fraction. It does look like one at first glance, as does the division symbol, the obelus (÷). You may also question why the symbol has two zeroes in it. After all, isn’t dividing by zero undefined? Some sources claim that the two circles represent a shorthand for one hundred. That, while sort-of true, is not the whole story. The story behind it is much more complex. Let’s say a classroom has 40 students. 30 students are boys, while 10 students are girls. What % of the class are girls, and what % of the class are boys? Refer to the solution below. Solving for the % of girls