666.5 is what percent of 825 - 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 825 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 825, so we can write it down as 100%=825.
4. We know, that x% equals 666.5 of the output value, so we can write it down as x%=666.5.
5. Now we have two simple equations:
1) 100%=825
2) x%=666.5
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%=825/666.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 666.5 is what percent of 825

100%/x%=825/666.5
(100/x)*x=(825/666.5)*x       - we multiply both sides of the equation by x
100=1.2378094523631*x       - we divide both sides of the equation by (1.2378094523631) to get x
100/1.2378094523631=x
80.787878787879=x
x=80.787878787879

now we have:
666.5 is 80.787878787879% of 825