If I make ${$}1100$ month and my husband makes ${$}2720$ month (total combined ${$}3820$ month), what percent do I make of our total monthly income and what percent does my husband make of our total monthly income?
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Think about how you get a percentage. Usually it's something like x/total. In this case you know the total and you know x(the amount each of you make). Can you handle the rest now? – Brandon Dec 21 '16 at 06:05
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Yup thanks!!!!!!! – Mike Thompson Dec 21 '16 at 06:12
4 Answers
Percentage of total income will be the ratio of your income to the total income, multiplied by $100$ (for scaling purposes).
Your income: $$\frac{1100}{3820} \approx 0.2880= 28.80\%$$
Therefore, your husband's contribution is (approximately): $100\% -28.80\% = 71.20\%$
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$\frac{1100}{3820}\neq0.3039$ and even more obviously $0.3039\neq30.39$. – barak manos Dec 21 '16 at 06:13
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Whoops, typed it in wrong on the calculator, sorry folks. @barakmanos if you look carefully, there's a percent sign on the next line. – infinitylord Dec 21 '16 at 06:15
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Escape with \ to typeset the percent symbol;
$28.80\%$will give you want you want there (this is how you deal with things like curly braces as well; same principle). – pjs36 Dec 21 '16 at 06:18 -
@infinitylord: I'm still seeing $0.2880=28.80$ (with no percent sign next to it). – barak manos Dec 21 '16 at 06:18
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@barakmanos: Strange. On my screen, there is a percent sign on the following line. I'm not sure how to format it to get the percent sign to appear properly. – infinitylord Dec 21 '16 at 06:21
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Oh yeah, it is on the following line... Not very useful down there, isn't it? – barak manos Dec 21 '16 at 06:24
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It looks fine on my screen. None of these comments useful to OP or anyone else – Brandon Dec 21 '16 at 06:33
You: $$\frac{1100}{1100+2720}\cdot100\approx28.8\%$$
Him: $$\frac{2720}{1100+2720}\cdot100\approx71.2\%$$
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We may use the "standard" proportion formula for this $${x\over100} = {\text{part}\over\text{whole}}.$$ Considering your income only, then the "part" is $\$1100$, and the whole is $\$3820$. So, $${x\over100} = {1100\over3820} \implies x = 100\times{1100\over3820} \approx 28.80\%. $$ So you make about $28.80\%$ of the income. Then your husband's contribution is simply $100\% - 28.80\% = 71.2\%$.
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$\text{Percentage} = \frac{\text{Person Contribution}}{\text{Total}} \times 100$
Your -
$= \frac{1100}{1100 + 2720} \times 100$
Your husband -
$= \frac{2720}{1100 + 2720} \times 100$
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