55.35 is what percent of 344.44 - 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 344.44 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 344.44, so we can write it down as 100%=344.44.
4. We know, that x% equals 55.35 of the output value, so we can write it down as x%=55.35.
5. Now we have two simple equations:
1) 100%=344.44
2) x%=55.35
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%=344.44/55.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.35 is what percent of 344.44

100%/x%=344.44/55.35
(100/x)*x=(344.44/55.35)*x       - we multiply both sides of the equation by x
100=6.2229448961156*x       - we divide both sides of the equation by (6.2229448961156) to get x
100/6.2229448961156=x
16.069562187899=x
x=16.069562187899

now we have:
55.35 is 16.069562187899% of 344.44