38.23 is what percent of 358.61 - 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 358.61 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 358.61, so we can write it down as 100%=358.61.
4. We know, that x% equals 38.23 of the output value, so we can write it down as x%=38.23.
5. Now we have two simple equations:
1) 100%=358.61
2) x%=38.23
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%=358.61/38.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.23 is what percent of 358.61

100%/x%=358.61/38.23
(100/x)*x=(358.61/38.23)*x       - we multiply both sides of the equation by x
100=9.3803295840963*x       - we divide both sides of the equation by (9.3803295840963) to get x
100/9.3803295840963=x
10.660606229609=x
x=10.660606229609

now we have:
38.23 is 10.660606229609% of 358.61