34.88 is what percent of 455.92 - 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 455.92 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 455.92, so we can write it down as 100%=455.92.
4. We know, that x% equals 34.88 of the output value, so we can write it down as x%=34.88.
5. Now we have two simple equations:
1) 100%=455.92
2) x%=34.88
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%=455.92/34.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.88 is what percent of 455.92

100%/x%=455.92/34.88
(100/x)*x=(455.92/34.88)*x       - we multiply both sides of the equation by x
100=13.071100917431*x       - we divide both sides of the equation by (13.071100917431) to get x
100/13.071100917431=x
7.6504649938586=x
x=7.6504649938586

now we have:
34.88 is 7.6504649938586% of 455.92