45.54 is what percent of 187.2 - 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 187.2 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 187.2, so we can write it down as 100%=187.2.
4. We know, that x% equals 45.54 of the output value, so we can write it down as x%=45.54.
5. Now we have two simple equations:
1) 100%=187.2
2) x%=45.54
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%=187.2/45.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.54 is what percent of 187.2

100%/x%=187.2/45.54
(100/x)*x=(187.2/45.54)*x       - we multiply both sides of the equation by x
100=4.1106719367589*x       - we divide both sides of the equation by (4.1106719367589) to get x
100/4.1106719367589=x
24.326923076923=x
x=24.326923076923

now we have:
45.54 is 24.326923076923% of 187.2