3.9 is what percent of 10.3 - 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 10.3 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 10.3, so we can write it down as 100%=10.3.
4. We know, that x% equals 3.9 of the output value, so we can write it down as x%=3.9.
5. Now we have two simple equations:
1) 100%=10.3
2) x%=3.9
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%=10.3/3.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.9 is what percent of 10.3

100%/x%=10.3/3.9
(100/x)*x=(10.3/3.9)*x       - we multiply both sides of the equation by x
100=2.6410256410256*x       - we divide both sides of the equation by (2.6410256410256) to get x
100/2.6410256410256=x
37.864077669903=x
x=37.864077669903

now we have:
3.9 is 37.864077669903% of 10.3