30.1 is what percent of 39.9 - 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 39.9 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 39.9, so we can write it down as 100%=39.9.
4. We know, that x% equals 30.1 of the output value, so we can write it down as x%=30.1.
5. Now we have two simple equations:
1) 100%=39.9
2) x%=30.1
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%=39.9/30.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.1 is what percent of 39.9

100%/x%=39.9/30.1
(100/x)*x=(39.9/30.1)*x       - we multiply both sides of the equation by x
100=1.3255813953488*x       - we divide both sides of the equation by (1.3255813953488) to get x
100/1.3255813953488=x
75.438596491228=x
x=75.438596491228

now we have:
30.1 is 75.438596491228% of 39.9