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8 Out of 25 As a Percentage OR

## 8 Out of 25 As a Percentage

If you divide 25 into 8 then you get 8 out of 25. So 8 out of 25 is 25 percent.

### Use

We use percentages to make calculations easier. It is much simpler to work with parts of 100 than thirds, twelfths and so on, especially because quite a lot of fractions do not have an exact (non-recurring) decimal equivalent. Importantly, this also makes it much easier to make comparisons between percentages (which all effectively have the common denominator of 100) than it is between fractions with different denominators. This is partly why so many countries use a metric system of measurement and decimal currency.

As your maths skills develop, you can begin to see other ways of arriving at the same answer. The laptop example above is quite straightforward and with practise, you can use your mental maths skills to think about this problem in a different way to make it easier. In this case, you are trying to find 20%, so instead of finding 1% and then multiplying it by 20, you can find 10% and then simply double it. We know that 10% is the same as 1/10th and we can divide a number by 10 by moving the decimal place one place to left (removing a zero from 500). Therefore 10% of £500 is £50 and 20% is £100. (Source: www.skillsyouneed.com)

### Divide

This is all nice, but we usually do not use percents just by themselves. Mostly, we want to answer how big is one number in relation to another number?. To try to visualize it, imagine that we have something everyone likes, for example, a large packet of cookies (or donuts or chocolates, whatever you prefer ðŸ˜‰ - we will stick to cookies). Let's try to find an answer to the question of what is 40% of 20? It is 40 hundredths of 20, so if we divided 20 cookies into 100 even parts (good luck with that!), 40 of those parts would be 40% of 20 cookies. Let's do the math.

Now, something even harder - 250 cookies. Oh-oh, we divided up the first 200 cookies, placing two in every compartment. Now we are left with 50 cookies that need to be spread evenly, hmmm, it's half a cookie in every box. How to calculate the percentage? You are right - this time, 1 percent of the total number of 250 cookies is 2.5. How many do we have in 15 boxes? 2.5 * 15 is 37.5. (Source: www.omnicalculator.com)

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