118.1 is what percent of 213.9 - 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 213.9 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 213.9, so we can write it down as 100%=213.9.
4. We know, that x% equals 118.1 of the output value, so we can write it down as x%=118.1.
5. Now we have two simple equations:
1) 100%=213.9
2) x%=118.1
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%=213.9/118.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.1 is what percent of 213.9

100%/x%=213.9/118.1
(100/x)*x=(213.9/118.1)*x       - we multiply both sides of the equation by x
100=1.8111769686706*x       - we divide both sides of the equation by (1.8111769686706) to get x
100/1.8111769686706=x
55.212716222534=x
x=55.212716222534

now we have:
118.1 is 55.212716222534% of 213.9