47.09 is what percent of 344.79 - 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 344.79 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 344.79, so we can write it down as 100%=344.79.
4. We know, that x% equals 47.09 of the output value, so we can write it down as x%=47.09.
5. Now we have two simple equations:
1) 100%=344.79
2) x%=47.09
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%=344.79/47.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.09 is what percent of 344.79

100%/x%=344.79/47.09
(100/x)*x=(344.79/47.09)*x       - we multiply both sides of the equation by x
100=7.321936716925*x       - we divide both sides of the equation by (7.321936716925) to get x
100/7.321936716925=x
13.657588677166=x
x=13.657588677166

now we have:
47.09 is 13.657588677166% of 344.79