86.6 is what percent of 88 - 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 88 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 88, so we can write it down as 100%=88.
4. We know, that x% equals 86.6 of the output value, so we can write it down as x%=86.6.
5. Now we have two simple equations:
1) 100%=88
2) x%=86.6
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%=88/86.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.6 is what percent of 88

100%/x%=88/86.6
(100/x)*x=(88/86.6)*x       - we multiply both sides of the equation by x
100=1.0161662817552*x       - we divide both sides of the equation by (1.0161662817552) to get x
100/1.0161662817552=x
98.409090909091=x
x=98.409090909091

now we have:
86.6 is 98.409090909091% of 88