34.5 is what percent of 110.25 - 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 110.25 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 110.25, so we can write it down as 100%=110.25.
4. We know, that x% equals 34.5 of the output value, so we can write it down as x%=34.5.
5. Now we have two simple equations:
1) 100%=110.25
2) x%=34.5
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%=110.25/34.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.5 is what percent of 110.25

100%/x%=110.25/34.5
(100/x)*x=(110.25/34.5)*x       - we multiply both sides of the equation by x
100=3.195652173913*x       - we divide both sides of the equation by (3.195652173913) to get x
100/3.195652173913=x
31.292517006803=x
x=31.292517006803

now we have:
34.5 is 31.292517006803% of 110.25