19.39 is what percent of 142.12 - 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 142.12 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 142.12, so we can write it down as 100%=142.12.
4. We know, that x% equals 19.39 of the output value, so we can write it down as x%=19.39.
5. Now we have two simple equations:
1) 100%=142.12
2) x%=19.39
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%=142.12/19.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.39 is what percent of 142.12

100%/x%=142.12/19.39
(100/x)*x=(142.12/19.39)*x       - we multiply both sides of the equation by x
100=7.3295513151109*x       - we divide both sides of the equation by (7.3295513151109) to get x
100/7.3295513151109=x
13.64339994371=x
x=13.64339994371

now we have:
19.39 is 13.64339994371% of 142.12