118.7 is what percent of 207.1 - 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 207.1 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 207.1, so we can write it down as 100%=207.1.
4. We know, that x% equals 118.7 of the output value, so we can write it down as x%=118.7.
5. Now we have two simple equations:
1) 100%=207.1
2) x%=118.7
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%=207.1/118.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.7 is what percent of 207.1

100%/x%=207.1/118.7
(100/x)*x=(207.1/118.7)*x       - we multiply both sides of the equation by x
100=1.7447346251053*x       - we divide both sides of the equation by (1.7447346251053) to get x
100/1.7447346251053=x
57.315306615162=x
x=57.315306615162

now we have:
118.7 is 57.315306615162% of 207.1