48.51 is what percent of 51.11 - 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 51.11 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 51.11, so we can write it down as 100%=51.11.
4. We know, that x% equals 48.51 of the output value, so we can write it down as x%=48.51.
5. Now we have two simple equations:
1) 100%=51.11
2) x%=48.51
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%=51.11/48.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.51 is what percent of 51.11

100%/x%=51.11/48.51
(100/x)*x=(51.11/48.51)*x       - we multiply both sides of the equation by x
100=1.0535971964543*x       - we divide both sides of the equation by (1.0535971964543) to get x
100/1.0535971964543=x
94.912932889845=x
x=94.912932889845

now we have:
48.51 is 94.912932889845% of 51.11