55.2 is what percent of 11150.4 - 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 11150.4 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 11150.4, so we can write it down as 100%=11150.4.
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%=11150.4
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%=11150.4/55.2
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 11150.4

100%/x%=11150.4/55.2
(100/x)*x=(11150.4/55.2)*x       - we multiply both sides of the equation by x
100=202*x       - we divide both sides of the equation by (202) to get x
100/202=x
0.4950495049505=x
x=0.4950495049505

now we have:
55.2 is 0.4950495049505% of 11150.4