25.2 is what percent of 279 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 279 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 279, so we can write it down as 100%=279.
4. We know, that x% equals 25.2 of the output value, so we can write it down as x%=25.2.
5. Now we have two simple equations:
1) 100%=279
2) x%=25.2
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=279/25.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.2 is what percent of 279

100%/x%=279/25.2
(100/x)*x=(279/25.2)*x       - we multiply both sides of the equation by x
100=11.071428571429*x       - we divide both sides of the equation by (11.071428571429) to get x
100/11.071428571429=x
9.0322580645161=x
x=9.0322580645161

now we have:
25.2 is 9.0322580645161% of 279

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