18.5 is what percent of 122.4 - 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 122.4 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 122.4, so we can write it down as 100%=122.4.
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%=122.4
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%=122.4/18.5
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 122.4

100%/x%=122.4/18.5
(100/x)*x=(122.4/18.5)*x       - we multiply both sides of the equation by x
100=6.6162162162162*x       - we divide both sides of the equation by (6.6162162162162) to get x
100/6.6162162162162=x
15.114379084967=x
x=15.114379084967

now we have:
18.5 is 15.114379084967% of 122.4