4.82 is what percent of 33.92 - 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 33.92 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 33.92, so we can write it down as 100%=33.92.
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%=33.92
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%=33.92/4.82
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 33.92

100%/x%=33.92/4.82
(100/x)*x=(33.92/4.82)*x       - we multiply both sides of the equation by x
100=7.0373443983402*x       - we divide both sides of the equation by (7.0373443983402) to get x
100/7.0373443983402=x
14.209905660377=x
x=14.209905660377

now we have:
4.82 is 14.209905660377% of 33.92