57.78 is what percent of 54 - 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 54 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 54, so we can write it down as 100%=54.
4. We know, that x% equals 57.78 of the output value, so we can write it down as x%=57.78.
5. Now we have two simple equations:
1) 100%=54
2) x%=57.78
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%=54/57.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.78 is what percent of 54

100%/x%=54/57.78
(100/x)*x=(54/57.78)*x       - we multiply both sides of the equation by x
100=0.93457943925234*x       - we divide both sides of the equation by (0.93457943925234) to get x
100/0.93457943925234=x
107=x
x=107

now we have:
57.78 is 107% of 54