36.01 is what percent of 258.48 - 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 258.48 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 258.48, so we can write it down as 100%=258.48.
4. We know, that x% equals 36.01 of the output value, so we can write it down as x%=36.01.
5. Now we have two simple equations:
1) 100%=258.48
2) x%=36.01
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%=258.48/36.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.01 is what percent of 258.48

100%/x%=258.48/36.01
(100/x)*x=(258.48/36.01)*x       - we multiply both sides of the equation by x
100=7.1780061094141*x       - we divide both sides of the equation by (7.1780061094141) to get x
100/7.1780061094141=x
13.93144537295=x
x=13.93144537295

now we have:
36.01 is 13.93144537295% of 258.48