14.24 is what percent of 80 - 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 80 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 80, so we can write it down as 100%=80.
4. We know, that x% equals 14.24 of the output value, so we can write it down as x%=14.24.
5. Now we have two simple equations:
1) 100%=80
2) x%=14.24
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%=80/14.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.24 is what percent of 80

100%/x%=80/14.24
(100/x)*x=(80/14.24)*x       - we multiply both sides of the equation by x
100=5.6179775280899*x       - we divide both sides of the equation by (5.6179775280899) to get x
100/5.6179775280899=x
17.8=x
x=17.8

now we have:
14.24 is 17.8% of 80