4.84 is what percent of 39.8 - 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 39.8 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 39.8, so we can write it down as 100%=39.8.
4. We know, that x% equals 4.84 of the output value, so we can write it down as x%=4.84.
5. Now we have two simple equations:
1) 100%=39.8
2) x%=4.84
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%=39.8/4.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.84 is what percent of 39.8

100%/x%=39.8/4.84
(100/x)*x=(39.8/4.84)*x       - we multiply both sides of the equation by x
100=8.2231404958678*x       - we divide both sides of the equation by (8.2231404958678) to get x
100/8.2231404958678=x
12.160804020101=x
x=12.160804020101

now we have:
4.84 is 12.160804020101% of 39.8