217.88 is what percent of 396.15 - 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 396.15 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 396.15, so we can write it down as 100%=396.15.
4. We know, that x% equals 217.88 of the output value, so we can write it down as x%=217.88.
5. Now we have two simple equations:
1) 100%=396.15
2) x%=217.88
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%=396.15/217.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 217.88 is what percent of 396.15

100%/x%=396.15/217.88
(100/x)*x=(396.15/217.88)*x       - we multiply both sides of the equation by x
100=1.8182026803745*x       - we divide both sides of the equation by (1.8182026803745) to get x
100/1.8182026803745=x
54.999368925912=x
x=54.999368925912

now we have:
217.88 is 54.999368925912% of 396.15