4.82 is what percent of 12.742 - 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 12.742 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 12.742, so we can write it down as 100%=12.742.
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%=12.742
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%=12.742/4.82
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 12.742

100%/x%=12.742/4.82
(100/x)*x=(12.742/4.82)*x       - we multiply both sides of the equation by x
100=2.6435684647303*x       - we divide both sides of the equation by (2.6435684647303) to get x
100/2.6435684647303=x
37.827656568827=x
x=37.827656568827

now we have:
4.82 is 37.827656568827% of 12.742