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June 21st, 2019, 02:30 PM   #1
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A percentage question

Math has never been my best....

Trying to understand if a total changes but the amount does not change, how does this affect the percentage of that total??
Example: A 2.5 gallon container is half full (50%) and you then pour the contents into a 2 gallon container.... Or a 3 gallon container, etc..
Based upon percentage, how full is the new container???

I appreciate the help in understanding this....
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June 21st, 2019, 03:45 PM   #2
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A percentage $p$ can be found with $p=\frac{amount}{total} \times 100$ , If you know a 2.5 gallon container is 50% full, then you can use the percentage to find the amount.

$\displaystyle \frac{amount}{2.5} \times 100 = 50$

Divide both sides by $100$

$\displaystyle \frac{amount}{2.5}= \frac{50}{100} = \frac{1}{2}$

Multiply both sides by $2.5$

$\displaystyle amount = \frac{2.5}{2} = 1.25$

You can then use this to find percentages for other containers.

$p = \frac{1.25}{3} \times 100$ for 3 gallons

$p = \frac{1.25}{n} \times 100$ for $n$ gallons.
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