9.5 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 9.5 of the output value, so we can write it down as x%=9.5.
5. Now we have two simple equations:
1) 100%=258
2) x%=9.5
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%=258/9.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.5 is what percent of 258

100%/x%=258/9.5
(100/x)*x=(258/9.5)*x       - we multiply both sides of the equation by x
100=27.157894736842*x       - we divide both sides of the equation by (27.157894736842) to get x
100/27.157894736842=x
3.6821705426357=x
x=3.6821705426357

now we have:
9.5 is 3.6821705426357% of 258