39.8 is what percent of 344.4 - 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 344.4 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 344.4, so we can write it down as 100%=344.4.
4. We know, that x% equals 39.8 of the output value, so we can write it down as x%=39.8.
5. Now we have two simple equations:
1) 100%=344.4
2) x%=39.8
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%=344.4/39.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.8 is what percent of 344.4

100%/x%=344.4/39.8
(100/x)*x=(344.4/39.8)*x       - we multiply both sides of the equation by x
100=8.6532663316583*x       - we divide both sides of the equation by (8.6532663316583) to get x
100/8.6532663316583=x
11.556329849013=x
x=11.556329849013

now we have:
39.8 is 11.556329849013% of 344.4