28.92 is what percent of 54.95 - 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 54.95 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 54.95, so we can write it down as 100%=54.95.
4. We know, that x% equals 28.92 of the output value, so we can write it down as x%=28.92.
5. Now we have two simple equations:
1) 100%=54.95
2) x%=28.92
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%=54.95/28.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.92 is what percent of 54.95

100%/x%=54.95/28.92
(100/x)*x=(54.95/28.92)*x       - we multiply both sides of the equation by x
100=1.9000691562932*x       - we divide both sides of the equation by (1.9000691562932) to get x
100/1.9000691562932=x
52.6296633303=x
x=52.6296633303

now we have:
28.92 is 52.6296633303% of 54.95