86 is what percent of 706 - 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 706 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 706, so we can write it down as 100%=706.
4. We know, that x% equals 86 of the output value, so we can write it down as x%=86.
5. Now we have two simple equations:
1) 100%=706
2) x%=86
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%=706/86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86 is what percent of 706

100%/x%=706/86
(100/x)*x=(706/86)*x       - we multiply both sides of the equation by x
100=8.2093023255814*x       - we divide both sides of the equation by (8.2093023255814) to get x
100/8.2093023255814=x
12.181303116147=x
x=12.181303116147

now we have:
86 is 12.181303116147% of 706