35.28 is what percent of 238.82 - 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 238.82 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 238.82, so we can write it down as 100%=238.82.
4. We know, that x% equals 35.28 of the output value, so we can write it down as x%=35.28.
5. Now we have two simple equations:
1) 100%=238.82
2) x%=35.28
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%=238.82/35.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.28 is what percent of 238.82

100%/x%=238.82/35.28
(100/x)*x=(238.82/35.28)*x       - we multiply both sides of the equation by x
100=6.7692743764172*x       - we divide both sides of the equation by (6.7692743764172) to get x
100/6.7692743764172=x
14.772632107864=x
x=14.772632107864

now we have:
35.28 is 14.772632107864% of 238.82