51.06 is what percent of 102.77 - 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 102.77 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 102.77, so we can write it down as 100%=102.77.
4. We know, that x% equals 51.06 of the output value, so we can write it down as x%=51.06.
5. Now we have two simple equations:
1) 100%=102.77
2) x%=51.06
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%=102.77/51.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.06 is what percent of 102.77

100%/x%=102.77/51.06
(100/x)*x=(102.77/51.06)*x       - we multiply both sides of the equation by x
100=2.0127301214258*x       - we divide both sides of the equation by (2.0127301214258) to get x
100/2.0127301214258=x
49.683759852097=x
x=49.683759852097

now we have:
51.06 is 49.683759852097% of 102.77