38.58 is what percent of 622.27 - 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 622.27 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 622.27, so we can write it down as 100%=622.27.
4. We know, that x% equals 38.58 of the output value, so we can write it down as x%=38.58.
5. Now we have two simple equations:
1) 100%=622.27
2) x%=38.58
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%=622.27/38.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.58 is what percent of 622.27

100%/x%=622.27/38.58
(100/x)*x=(622.27/38.58)*x       - we multiply both sides of the equation by x
100=16.129341627786*x       - we divide both sides of the equation by (16.129341627786) to get x
100/16.129341627786=x
6.1998810805599=x
x=6.1998810805599

now we have:
38.58 is 6.1998810805599% of 622.27