466.5 is what percent of 520 - 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 520 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 520, so we can write it down as 100%=520.
4. We know, that x% equals 466.5 of the output value, so we can write it down as x%=466.5.
5. Now we have two simple equations:
1) 100%=520
2) x%=466.5
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%=520/466.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 466.5 is what percent of 520

100%/x%=520/466.5
(100/x)*x=(520/466.5)*x       - we multiply both sides of the equation by x
100=1.1146838156484*x       - we divide both sides of the equation by (1.1146838156484) to get x
100/1.1146838156484=x
89.711538461538=x
x=89.711538461538

now we have:
466.5 is 89.711538461538% of 520