18.36 is what percent of 217 - 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 217 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 217, so we can write it down as 100%=217.
4. We know, that x% equals 18.36 of the output value, so we can write it down as x%=18.36.
5. Now we have two simple equations:
1) 100%=217
2) x%=18.36
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%=217/18.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.36 is what percent of 217

100%/x%=217/18.36
(100/x)*x=(217/18.36)*x       - we multiply both sides of the equation by x
100=11.81917211329*x       - we divide both sides of the equation by (11.81917211329) to get x
100/11.81917211329=x
8.4608294930876=x
x=8.4608294930876

now we have:
18.36 is 8.4608294930876% of 217