338.02 is what percent of 709.92 - 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 709.92 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 709.92, so we can write it down as 100%=709.92.
4. We know, that x% equals 338.02 of the output value, so we can write it down as x%=338.02.
5. Now we have two simple equations:
1) 100%=709.92
2) x%=338.02
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%=709.92/338.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 338.02 is what percent of 709.92

100%/x%=709.92/338.02
(100/x)*x=(709.92/338.02)*x       - we multiply both sides of the equation by x
100=2.1002307555766*x       - we divide both sides of the equation by (2.1002307555766) to get x
100/2.1002307555766=x
47.613815641199=x
x=47.613815641199

now we have:
338.02 is 47.613815641199% of 709.92