13678.67 is what percent of 80000 - 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 80000 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 80000, so we can write it down as 100%=80000.
4. We know, that x% equals 13678.67 of the output value, so we can write it down as x%=13678.67.
5. Now we have two simple equations:
1) 100%=80000
2) x%=13678.67
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%=80000/13678.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13678.67 is what percent of 80000

100%/x%=80000/13678.67
(100/x)*x=(80000/13678.67)*x       - we multiply both sides of the equation by x
100=5.8485218226626*x       - we divide both sides of the equation by (5.8485218226626) to get x
100/5.8485218226626=x
17.0983375=x
x=17.0983375

now we have:
13678.67 is 17.0983375% of 80000