4.82 is what percent of 48.1 - 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 48.1 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 48.1, so we can write it down as 100%=48.1.
4. We know, that x% equals 4.82 of the output value, so we can write it down as x%=4.82.
5. Now we have two simple equations:
1) 100%=48.1
2) x%=4.82
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%=48.1/4.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.82 is what percent of 48.1

100%/x%=48.1/4.82
(100/x)*x=(48.1/4.82)*x       - we multiply both sides of the equation by x
100=9.9792531120332*x       - we divide both sides of the equation by (9.9792531120332) to get x
100/9.9792531120332=x
10.02079002079=x
x=10.02079002079

now we have:
4.82 is 10.02079002079% of 48.1