6.66 is what percent of 86.5 - 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 86.5 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 86.5, so we can write it down as 100%=86.5.
4. We know, that x% equals 6.66 of the output value, so we can write it down as x%=6.66.
5. Now we have two simple equations:
1) 100%=86.5
2) x%=6.66
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%=86.5/6.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.66 is what percent of 86.5

100%/x%=86.5/6.66
(100/x)*x=(86.5/6.66)*x       - we multiply both sides of the equation by x
100=12.987987987988*x       - we divide both sides of the equation by (12.987987987988) to get x
100/12.987987987988=x
7.6994219653179=x
x=7.6994219653179

now we have:
6.66 is 7.6994219653179% of 86.5