86.32 is what percent of 700 - 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 700 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 700, so we can write it down as 100%=700.
4. We know, that x% equals 86.32 of the output value, so we can write it down as x%=86.32.
5. Now we have two simple equations:
1) 100%=700
2) x%=86.32
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%=700/86.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.32 is what percent of 700

100%/x%=700/86.32
(100/x)*x=(700/86.32)*x       - we multiply both sides of the equation by x
100=8.1093605189991*x       - we divide both sides of the equation by (8.1093605189991) to get x
100/8.1093605189991=x
12.331428571429=x
x=12.331428571429

now we have:
86.32 is 12.331428571429% of 700