38.43 is what percent of 686.19 - 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 686.19 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 686.19, so we can write it down as 100%=686.19.
4. We know, that x% equals 38.43 of the output value, so we can write it down as x%=38.43.
5. Now we have two simple equations:
1) 100%=686.19
2) x%=38.43
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%=686.19/38.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.43 is what percent of 686.19

100%/x%=686.19/38.43
(100/x)*x=(686.19/38.43)*x       - we multiply both sides of the equation by x
100=17.855581576893*x       - we divide both sides of the equation by (17.855581576893) to get x
100/17.855581576893=x
5.6004896602982=x
x=5.6004896602982

now we have:
38.43 is 5.6004896602982% of 686.19