55.8 is what percent of 494 - 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 494 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 494, so we can write it down as 100%=494.
4. We know, that x% equals 55.8 of the output value, so we can write it down as x%=55.8.
5. Now we have two simple equations:
1) 100%=494
2) x%=55.8
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%=494/55.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.8 is what percent of 494

100%/x%=494/55.8
(100/x)*x=(494/55.8)*x       - we multiply both sides of the equation by x
100=8.8530465949821*x       - we divide both sides of the equation by (8.8530465949821) to get x
100/8.8530465949821=x
11.295546558704=x
x=11.295546558704

now we have:
55.8 is 11.295546558704% of 494