55.2 is what percent of 155.02 - 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 155.02 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 155.02, so we can write it down as 100%=155.02.
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%=155.02
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%=155.02/55.2
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 155.02

100%/x%=155.02/55.2
(100/x)*x=(155.02/55.2)*x       - we multiply both sides of the equation by x
100=2.8083333333333*x       - we divide both sides of the equation by (2.8083333333333) to get x
100/2.8083333333333=x
35.608308605341=x
x=35.608308605341

now we have:
55.2 is 35.608308605341% of 155.02