86.75 is what percent of 185.09 - 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 185.09 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 185.09, so we can write it down as 100%=185.09.
4. We know, that x% equals 86.75 of the output value, so we can write it down as x%=86.75.
5. Now we have two simple equations:
1) 100%=185.09
2) x%=86.75
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%=185.09/86.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.75 is what percent of 185.09

100%/x%=185.09/86.75
(100/x)*x=(185.09/86.75)*x       - we multiply both sides of the equation by x
100=2.1336023054755*x       - we divide both sides of the equation by (2.1336023054755) to get x
100/2.1336023054755=x
46.869090712626=x
x=46.869090712626

now we have:
86.75 is 46.869090712626% of 185.09