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My son is stuck on this maths homework question and I do not know how to do this. The question says: "there are $682$ girls in a crowd of $1000$. What percent is this". Use no calculator.

We have done $\dfrac{682}{1000}$ and simplified to $\dfrac{341}{500}$ but now am stuck...how do I get this into a percentage?

Amir Naseri
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Joseph
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  • Hint. It shouldn't be too hard to divide the numerator and denominator by 5 without a calculator. (There will be a remainder in the numerator, so there will be a fraction of a percent in the answer.) – Ethan Bolker Jun 23 '15 at 17:03

5 Answers5

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We can also solve it by making proportional.

Let $682$ of $1000$ is $x$%

Now, make the proportion,

$$\dfrac{682}{1000}=\dfrac{x}{100}$$

$$1000x = 68200$$

$$x = \dfrac{68200}{1000}$$ $$= 68.2%$$

Thus, $682$ of $1000$ is $68.2$%

Deepak Suwalka
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$$\frac{682}{1000}=\frac{68.2}{100.0}=68.2\%$$

barak manos
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you need multiply by 100, i.e.

$$\frac{682}{1000}\times100=68,2\%$$

Cgomes
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  • Ah...yes...not done any maths in 30 years...makes sense now! – Joseph Jun 23 '15 at 17:05
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    Well, technically, $68.2%=\frac{682}{1000}$. Multiplication by $100$ is to get from the decimal presentation to the percentage presentation. –  Jun 23 '15 at 17:05
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There are $682$ girls per $1000$ people, hence $68$ per $100$ ! (Precisely $68.2$, but I don't want to harm anyone.)

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To convert a fraction into percent, simply multiply the fraction by 100, like-

$$\dfrac{1}{10}\;\;\implies\dfrac{1}{10}\times100=10\%$$

similarly,

$\dfrac{682}{1000}\;\;\implies\dfrac{682}{1000}\times100=68.2\%$