368.33 is what percent of 13609.47 - 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 13609.47 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 13609.47, so we can write it down as 100%=13609.47.
4. We know, that x% equals 368.33 of the output value, so we can write it down as x%=368.33.
5. Now we have two simple equations:
1) 100%=13609.47
2) x%=368.33
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%=13609.47/368.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 368.33 is what percent of 13609.47

100%/x%=13609.47/368.33
(100/x)*x=(13609.47/368.33)*x       - we multiply both sides of the equation by x
100=36.949121711509*x       - we divide both sides of the equation by (36.949121711509) to get x
100/36.949121711509=x
2.706424276625=x
x=2.706424276625

now we have:
368.33 is 2.706424276625% of 13609.47