461.77 is what percent of 515 - 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 515 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 515, so we can write it down as 100%=515.
4. We know, that x% equals 461.77 of the output value, so we can write it down as x%=461.77.
5. Now we have two simple equations:
1) 100%=515
2) x%=461.77
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%=515/461.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 461.77 is what percent of 515

100%/x%=515/461.77
(100/x)*x=(515/461.77)*x       - we multiply both sides of the equation by x
100=1.1152738376248*x       - we divide both sides of the equation by (1.1152738376248) to get x
100/1.1152738376248=x
89.664077669903=x
x=89.664077669903

now we have:
461.77 is 89.664077669903% of 515