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I need to calculate what 230,769 is 20% of. I know I can multiply 230,769 x 5. But I'd like to know what the algebraic formula is.

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    $\begingroup$ You want 100%. This is five times of 20%. Thus you have to muliply 230,769 by 5. $\endgroup$ – callculus Jun 16 '17 at 20:13
  • $\begingroup$ $230769\times5$ is an algebraic formula for what $230,769$ is $20\%$ of. If you're looking for something with letters instead of just numbers, you probably have a more general problem in mind than specifically twenty percent of the specific number $230,769.$ Do you want a formula that works for any starting number (so you can replace $230,769$ with something else), for any percentage, or for any combination of the two things? $\endgroup$ – David K Jun 16 '17 at 20:34
  • $\begingroup$ This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level. $\endgroup$ – user64742 Jun 16 '17 at 20:56
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Let $230769$ be $20\%$ of $x$. Then $$ \frac{230769}{x} = \frac{20}{100} $$

Can you take it from here?

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  • $\begingroup$ If you're going to acknowledge a question with no context, at least provide a complete answer. What is the actual final answer? $\endgroup$ – user64742 Jun 16 '17 at 21:01
  • $\begingroup$ @Typhon i don't hold that doing all the work for the OP is what should be done -- I gave a hint, and let the OP do at least something to get his homework problem solved. $\endgroup$ – gt6989b Jun 18 '17 at 5:49
  • $\begingroup$ My statement was more reflective of the fact that this should've never been answered to begin with. I was saying that since MSE is meant to be a useful repository that at least posting something novel or at least a full series of steps towards solving the problem would be better fit for the community. Honestly, I don't even think such questions should be acknowledged. It only increases the volume of bad posts. $\endgroup$ – user64742 Jun 18 '17 at 5:53
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Another way to look at it. Your problem is: $$ 0.2 \quad \text{of} \quad \text{'what number'} \quad \text{equals} \quad 230,769 $$

Which translates to: $$ 0.2 \cdot x = 230,769 $$

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