118.5 is what percent of 127 - 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 127 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 127, so we can write it down as 100%=127.
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%=127
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%=127/118.5
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 127

100%/x%=127/118.5
(100/x)*x=(127/118.5)*x       - we multiply both sides of the equation by x
100=1.0717299578059*x       - we divide both sides of the equation by (1.0717299578059) to get x
100/1.0717299578059=x
93.307086614173=x
x=93.307086614173

now we have:
118.5 is 93.307086614173% of 127