38.66 is what percent of 708.82 - 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 708.82 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 708.82, so we can write it down as 100%=708.82.
4. We know, that x% equals 38.66 of the output value, so we can write it down as x%=38.66.
5. Now we have two simple equations:
1) 100%=708.82
2) x%=38.66
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%=708.82/38.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.66 is what percent of 708.82

100%/x%=708.82/38.66
(100/x)*x=(708.82/38.66)*x       - we multiply both sides of the equation by x
100=18.334712881531*x       - we divide both sides of the equation by (18.334712881531) to get x
100/18.334712881531=x
5.4541350413363=x
x=5.4541350413363

now we have:
38.66 is 5.4541350413363% of 708.82