18.5 is what percent of 388.5 - 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 388.5 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 388.5, so we can write it down as 100%=388.5.
4. We know, that x% equals 18.5 of the output value, so we can write it down as x%=18.5.
5. Now we have two simple equations:
1) 100%=388.5
2) x%=18.5
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%=388.5/18.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.5 is what percent of 388.5

100%/x%=388.5/18.5
(100/x)*x=(388.5/18.5)*x       - we multiply both sides of the equation by x
100=21*x       - we divide both sides of the equation by (21) to get x
100/21=x
4.7619047619048=x
x=4.7619047619048

now we have:
18.5 is 4.7619047619048% of 388.5