18.36 is what percent of 314.15 - 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 314.15 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 314.15, so we can write it down as 100%=314.15.
4. We know, that x% equals 18.36 of the output value, so we can write it down as x%=18.36.
5. Now we have two simple equations:
1) 100%=314.15
2) x%=18.36
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%=314.15/18.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.36 is what percent of 314.15

100%/x%=314.15/18.36
(100/x)*x=(314.15/18.36)*x       - we multiply both sides of the equation by x
100=17.110566448802*x       - we divide both sides of the equation by (17.110566448802) to get x
100/17.110566448802=x
5.8443418749005=x
x=5.8443418749005

now we have:
18.36 is 5.8443418749005% of 314.15