18 is what percent of 91.6 - 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 91.6 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 91.6, so we can write it down as 100%=91.6.
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%=91.6
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%=91.6/18
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 91.6

100%/x%=91.6/18
(100/x)*x=(91.6/18)*x       - we multiply both sides of the equation by x
100=5.0888888888889*x       - we divide both sides of the equation by (5.0888888888889) to get x
100/5.0888888888889=x
19.650655021834=x
x=19.650655021834

now we have:
18 is 19.650655021834% of 91.6