866.66 is what percent of 966.66 - 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 966.66 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 966.66, so we can write it down as 100%=966.66.
4. We know, that x% equals 866.66 of the output value, so we can write it down as x%=866.66.
5. Now we have two simple equations:
1) 100%=966.66
2) x%=866.66
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%=966.66/866.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 866.66 is what percent of 966.66

100%/x%=966.66/866.66
(100/x)*x=(966.66/866.66)*x       - we multiply both sides of the equation by x
100=1.1153855029654*x       - we divide both sides of the equation by (1.1153855029654) to get x
100/1.1153855029654=x
89.655101069663=x
x=89.655101069663

now we have:
866.66 is 89.655101069663% of 966.66