217.94 is what percent of 1538.47 - 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 1538.47 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 1538.47, so we can write it down as 100%=1538.47.
4. We know, that x% equals 217.94 of the output value, so we can write it down as x%=217.94.
5. Now we have two simple equations:
1) 100%=1538.47
2) x%=217.94
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%=1538.47/217.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 217.94 is what percent of 1538.47

100%/x%=1538.47/217.94
(100/x)*x=(1538.47/217.94)*x       - we multiply both sides of the equation by x
100=7.0591447187299*x       - we divide both sides of the equation by (7.0591447187299) to get x
100/7.0591447187299=x
14.166022086879=x
x=14.166022086879

now we have:
217.94 is 14.166022086879% of 1538.47