25 is what percent of 310 - 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 310 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 310, so we can write it down as 100%=310.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=310
2) x%=25
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%=310/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 310

100%/x%=310/25
(100/x)*x=(310/25)*x - we multiply both sides of the equation by x
100=12.4*x - we divide both sides of the equation by (12.4) to get x
100/12.4=x
8.06451612903=x
x=8.06451612903

now we have:
25 is 8.06451612903% of 310

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