13.4 is what percent of 39.2 - 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 39.2 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 39.2, so we can write it down as 100%=39.2.
4. We know, that x% equals 13.4 of the output value, so we can write it down as x%=13.4.
5. Now we have two simple equations:
1) 100%=39.2
2) x%=13.4
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%=39.2/13.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.4 is what percent of 39.2

100%/x%=39.2/13.4
(100/x)*x=(39.2/13.4)*x       - we multiply both sides of the equation by x
100=2.9253731343284*x       - we divide both sides of the equation by (2.9253731343284) to get x
100/2.9253731343284=x
34.183673469388=x
x=34.183673469388

now we have:
13.4 is 34.183673469388% of 39.2