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June 21st, 2019, 02:30 PM  #1 
Newbie Joined: Jun 2019 From: Chattanooga Posts: 1 Thanks: 0  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.... 
June 21st, 2019, 03:45 PM  #2 
Member Joined: Oct 2018 From: USA Posts: 87 Thanks: 59 Math Focus: Algebraic Geometry 
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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