18 is what percent of 42.55 - 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 42.55 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 42.55, so we can write it down as 100%=42.55.
4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.
5. Now we have two simple equations:
1) 100%=42.55
2) x%=18
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%=42.55/18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18 is what percent of 42.55

100%/x%=42.55/18
(100/x)*x=(42.55/18)*x       - we multiply both sides of the equation by x
100=2.3638888888889*x       - we divide both sides of the equation by (2.3638888888889) to get x
100/2.3638888888889=x
42.303172737955=x
x=42.303172737955

now we have:
18 is 42.303172737955% of 42.55