55.02 is what percent of 338.4 - 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 338.4 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 338.4, so we can write it down as 100%=338.4.
4. We know, that x% equals 55.02 of the output value, so we can write it down as x%=55.02.
5. Now we have two simple equations:
1) 100%=338.4
2) x%=55.02
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%=338.4/55.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.02 is what percent of 338.4

100%/x%=338.4/55.02
(100/x)*x=(338.4/55.02)*x       - we multiply both sides of the equation by x
100=6.1504907306434*x       - we divide both sides of the equation by (6.1504907306434) to get x
100/6.1504907306434=x
16.258865248227=x
x=16.258865248227

now we have:
55.02 is 16.258865248227% of 338.4