19.2 is what percent of 29.2 - 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 29.2 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 29.2, so we can write it down as 100%=29.2.
4. We know, that x% equals 19.2 of the output value, so we can write it down as x%=19.2.
5. Now we have two simple equations:
1) 100%=29.2
2) x%=19.2
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%=29.2/19.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.2 is what percent of 29.2

100%/x%=29.2/19.2
(100/x)*x=(29.2/19.2)*x       - we multiply both sides of the equation by x
100=1.5208333333333*x       - we divide both sides of the equation by (1.5208333333333) to get x
100/1.5208333333333=x
65.753424657534=x
x=65.753424657534

now we have:
19.2 is 65.753424657534% of 29.2