4.8 is what percent of 55.85 - 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 55.85 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 55.85, so we can write it down as 100%=55.85.
4. We know, that x% equals 4.8 of the output value, so we can write it down as x%=4.8.
5. Now we have two simple equations:
1) 100%=55.85
2) x%=4.8
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%=55.85/4.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.8 is what percent of 55.85

100%/x%=55.85/4.8
(100/x)*x=(55.85/4.8)*x       - we multiply both sides of the equation by x
100=11.635416666667*x       - we divide both sides of the equation by (11.635416666667) to get x
100/11.635416666667=x
8.5944494180842=x
x=8.5944494180842

now we have:
4.8 is 8.5944494180842% of 55.85