477.5 is what percent of 555 - 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 555 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 555, so we can write it down as 100%=555.
4. We know, that x% equals 477.5 of the output value, so we can write it down as x%=477.5.
5. Now we have two simple equations:
1) 100%=555
2) x%=477.5
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%=555/477.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 477.5 is what percent of 555

100%/x%=555/477.5
(100/x)*x=(555/477.5)*x       - we multiply both sides of the equation by x
100=1.1623036649215*x       - we divide both sides of the equation by (1.1623036649215) to get x
100/1.1623036649215=x
86.036036036036=x
x=86.036036036036

now we have:
477.5 is 86.036036036036% of 555