34.8 is what percent of 314.6 - 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 314.6 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 314.6, so we can write it down as 100%=314.6.
4. We know, that x% equals 34.8 of the output value, so we can write it down as x%=34.8.
5. Now we have two simple equations:
1) 100%=314.6
2) x%=34.8
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%=314.6/34.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.8 is what percent of 314.6

100%/x%=314.6/34.8
(100/x)*x=(314.6/34.8)*x       - we multiply both sides of the equation by x
100=9.0402298850575*x       - we divide both sides of the equation by (9.0402298850575) to get x
100/9.0402298850575=x
11.06166560712=x
x=11.06166560712

now we have:
34.8 is 11.06166560712% of 314.6