54.99 is what percent of 107.88 - 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 107.88 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 107.88, so we can write it down as 100%=107.88.
4. We know, that x% equals 54.99 of the output value, so we can write it down as x%=54.99.
5. Now we have two simple equations:
1) 100%=107.88
2) x%=54.99
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%=107.88/54.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.99 is what percent of 107.88

100%/x%=107.88/54.99
(100/x)*x=(107.88/54.99)*x       - we multiply both sides of the equation by x
100=1.961811238407*x       - we divide both sides of the equation by (1.961811238407) to get x
100/1.961811238407=x
50.973303670745=x
x=50.973303670745

now we have:
54.99 is 50.973303670745% of 107.88