15.3 is what percent of 40.6 - 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 40.6 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 40.6, so we can write it down as 100%=40.6.
4. We know, that x% equals 15.3 of the output value, so we can write it down as x%=15.3.
5. Now we have two simple equations:
1) 100%=40.6
2) x%=15.3
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%=40.6/15.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.3 is what percent of 40.6

100%/x%=40.6/15.3
(100/x)*x=(40.6/15.3)*x       - we multiply both sides of the equation by x
100=2.6535947712418*x       - we divide both sides of the equation by (2.6535947712418) to get x
100/2.6535947712418=x
37.684729064039=x
x=37.684729064039

now we have:
15.3 is 37.684729064039% of 40.6