3 is what percent of 37.8 - 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 37.8 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 37.8, so we can write it down as 100%=37.8.
4. We know, that x% equals 3 of the output value, so we can write it down as x%=3.
5. Now we have two simple equations:
1) 100%=37.8
2) x%=3
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%=37.8/3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3 is what percent of 37.8

100%/x%=37.8/3
(100/x)*x=(37.8/3)*x       - we multiply both sides of the equation by x
100=12.6*x       - we divide both sides of the equation by (12.6) to get x
100/12.6=x
7.9365079365079=x
x=7.9365079365079

now we have:
3 is 7.9365079365079% of 37.8