38.42 is what percent of 48.03 - 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 48.03 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 48.03, so we can write it down as 100%=48.03.
4. We know, that x% equals 38.42 of the output value, so we can write it down as x%=38.42.
5. Now we have two simple equations:
1) 100%=48.03
2) x%=38.42
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%=48.03/38.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.42 is what percent of 48.03

100%/x%=48.03/38.42
(100/x)*x=(48.03/38.42)*x       - we multiply both sides of the equation by x
100=1.2501301405518*x       - we divide both sides of the equation by (1.2501301405518) to get x
100/1.2501301405518=x
79.991671871747=x
x=79.991671871747

now we have:
38.42 is 79.991671871747% of 48.03