86.84 is what percent of 231.9 - 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 231.9 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 231.9, so we can write it down as 100%=231.9.
4. We know, that x% equals 86.84 of the output value, so we can write it down as x%=86.84.
5. Now we have two simple equations:
1) 100%=231.9
2) x%=86.84
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%=231.9/86.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.84 is what percent of 231.9

100%/x%=231.9/86.84
(100/x)*x=(231.9/86.84)*x       - we multiply both sides of the equation by x
100=2.6704283740212*x       - we divide both sides of the equation by (2.6704283740212) to get x
100/2.6704283740212=x
37.447175506684=x
x=37.447175506684

now we have:
86.84 is 37.447175506684% of 231.9