55.9 is what percent of 548.8 - 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 548.8 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 548.8, so we can write it down as 100%=548.8.
4. We know, that x% equals 55.9 of the output value, so we can write it down as x%=55.9.
5. Now we have two simple equations:
1) 100%=548.8
2) x%=55.9
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%=548.8/55.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.9 is what percent of 548.8

100%/x%=548.8/55.9
(100/x)*x=(548.8/55.9)*x       - we multiply both sides of the equation by x
100=9.8175313059034*x       - we divide both sides of the equation by (9.8175313059034) to get x
100/9.8175313059034=x
10.185860058309=x
x=10.185860058309

now we have:
55.9 is 10.185860058309% of 548.8