38.1 is what percent of 49.8 - 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 49.8 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 49.8, so we can write it down as 100%=49.8.
4. We know, that x% equals 38.1 of the output value, so we can write it down as x%=38.1.
5. Now we have two simple equations:
1) 100%=49.8
2) x%=38.1
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%=49.8/38.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.1 is what percent of 49.8

100%/x%=49.8/38.1
(100/x)*x=(49.8/38.1)*x       - we multiply both sides of the equation by x
100=1.3070866141732*x       - we divide both sides of the equation by (1.3070866141732) to get x
100/1.3070866141732=x
76.506024096386=x
x=76.506024096386

now we have:
38.1 is 76.506024096386% of 49.8