35.2 is what percent of 259 - step by step solution

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

1. We assume, that the number 259 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 259, so we can write it down as 100%=259.
4. We know, that x% equals 35.2 of the output value, so we can write it down as x%=35.2.
5. Now we have two simple equations:
1) 100%=259
2) x%=35.2
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%=259/35.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.2 is what percent of 259

100%/x%=259/35.2
(100/x)*x=(259/35.2)*x       - we multiply both sides of the equation by x
100=7.3579545454545*x       - we divide both sides of the equation by (7.3579545454545) to get x
100/7.3579545454545=x
13.590733590734=x
x=13.590733590734

now we have:
35.2 is 13.590733590734% of 259