14.2 is what percent of 27.2 - 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 27.2 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 27.2, so we can write it down as 100%=27.2.
4. We know, that x% equals 14.2 of the output value, so we can write it down as x%=14.2.
5. Now we have two simple equations:
1) 100%=27.2
2) x%=14.2
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%=27.2/14.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.2 is what percent of 27.2

100%/x%=27.2/14.2
(100/x)*x=(27.2/14.2)*x       - we multiply both sides of the equation by x
100=1.9154929577465*x       - we divide both sides of the equation by (1.9154929577465) to get x
100/1.9154929577465=x
52.205882352941=x
x=52.205882352941

now we have:
14.2 is 52.205882352941% of 27.2