20 is what percent of 14.208 - 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 14.208 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 14.208, so we can write it down as 100%=14.208.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=14.208
2) x%=20
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%=14.208/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 14.208

100%/x%=14.208/20
(100/x)*x=(14.208/20)*x       - we multiply both sides of the equation by x
100=0.7104*x       - we divide both sides of the equation by (0.7104) to get x
100/0.7104=x
140.76576576577=x
x=140.76576576577

now we have:
20 is 140.76576576577% of 14.208