55.2 is what percent of 176.5 - 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 176.5 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 176.5, so we can write it down as 100%=176.5.
4. We know, that x% equals 55.2 of the output value, so we can write it down as x%=55.2.
5. Now we have two simple equations:
1) 100%=176.5
2) x%=55.2
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%=176.5/55.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.2 is what percent of 176.5

100%/x%=176.5/55.2
(100/x)*x=(176.5/55.2)*x       - we multiply both sides of the equation by x
100=3.1974637681159*x       - we divide both sides of the equation by (3.1974637681159) to get x
100/3.1974637681159=x
31.274787535411=x
x=31.274787535411

now we have:
55.2 is 31.274787535411% of 176.5