338.08 is what percent of 29.25 - 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 29.25 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 29.25, so we can write it down as 100%=29.25.
4. We know, that x% equals 338.08 of the output value, so we can write it down as x%=338.08.
5. Now we have two simple equations:
1) 100%=29.25
2) x%=338.08
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%=29.25/338.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.08 is what percent of 29.25

100%/x%=29.25/338.08
(100/x)*x=(29.25/338.08)*x       - we multiply both sides of the equation by x
100=0.086517983909134*x       - we divide both sides of the equation by (0.086517983909134) to get x
100/0.086517983909134=x
1155.8290598291=x
x=1155.8290598291

now we have:
338.08 is 1155.8290598291% of 29.25