35.08 is what percent of 258 - 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 258 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 258, so we can write it down as 100%=258.
4. We know, that x% equals 35.08 of the output value, so we can write it down as x%=35.08.
5. Now we have two simple equations:
1) 100%=258
2) x%=35.08
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%=258/35.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.08 is what percent of 258

100%/x%=258/35.08
(100/x)*x=(258/35.08)*x       - we multiply both sides of the equation by x
100=7.3546180159635*x       - we divide both sides of the equation by (7.3546180159635) to get x
100/7.3546180159635=x
13.596899224806=x
x=13.596899224806

now we have:
35.08 is 13.596899224806% of 258