55.4 is what percent of 187.5 - 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 187.5 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 187.5, so we can write it down as 100%=187.5.
4. We know, that x% equals 55.4 of the output value, so we can write it down as x%=55.4.
5. Now we have two simple equations:
1) 100%=187.5
2) x%=55.4
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%=187.5/55.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.4 is what percent of 187.5

100%/x%=187.5/55.4
(100/x)*x=(187.5/55.4)*x       - we multiply both sides of the equation by x
100=3.384476534296*x       - we divide both sides of the equation by (3.384476534296) to get x
100/3.384476534296=x
29.546666666667=x
x=29.546666666667

now we have:
55.4 is 29.546666666667% of 187.5