118.5 is what percent of 126.1 - 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 126.1 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 126.1, so we can write it down as 100%=126.1.
4. We know, that x% equals 118.5 of the output value, so we can write it down as x%=118.5.
5. Now we have two simple equations:
1) 100%=126.1
2) x%=118.5
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%=126.1/118.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.5 is what percent of 126.1

100%/x%=126.1/118.5
(100/x)*x=(126.1/118.5)*x       - we multiply both sides of the equation by x
100=1.064135021097*x       - we divide both sides of the equation by (1.064135021097) to get x
100/1.064135021097=x
93.973037272006=x
x=93.973037272006

now we have:
118.5 is 93.973037272006% of 126.1