18 is what percent of 44.565 - 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 44.565 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 44.565, so we can write it down as 100%=44.565.
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%=44.565
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%=44.565/18
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 44.565

100%/x%=44.565/18
(100/x)*x=(44.565/18)*x       - we multiply both sides of the equation by x
100=2.4758333333333*x       - we divide both sides of the equation by (2.4758333333333) to get x
100/2.4758333333333=x
40.39044092898=x
x=40.39044092898

now we have:
18 is 40.39044092898% of 44.565