66.66 is what percent of 823 - 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 823 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 823, so we can write it down as 100%=823.
4. We know, that x% equals 66.66 of the output value, so we can write it down as x%=66.66.
5. Now we have two simple equations:
1) 100%=823
2) x%=66.66
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%=823/66.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.66 is what percent of 823

100%/x%=823/66.66
(100/x)*x=(823/66.66)*x       - we multiply both sides of the equation by x
100=12.346234623462*x       - we divide both sides of the equation by (12.346234623462) to get x
100/12.346234623462=x
8.0996354799514=x
x=8.0996354799514

now we have:
66.66 is 8.0996354799514% of 823