118.87 is what percent of 194.2 - 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 194.2 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 194.2, so we can write it down as 100%=194.2.
4. We know, that x% equals 118.87 of the output value, so we can write it down as x%=118.87.
5. Now we have two simple equations:
1) 100%=194.2
2) x%=118.87
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%=194.2/118.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.87 is what percent of 194.2

100%/x%=194.2/118.87
(100/x)*x=(194.2/118.87)*x       - we multiply both sides of the equation by x
100=1.6337175065197*x       - we divide both sides of the equation by (1.6337175065197) to get x
100/1.6337175065197=x
61.210092687951=x
x=61.210092687951

now we have:
118.87 is 61.210092687951% of 194.2