19.23 is what percent of 40.83 - 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 40.83 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 40.83, so we can write it down as 100%=40.83.
4. We know, that x% equals 19.23 of the output value, so we can write it down as x%=19.23.
5. Now we have two simple equations:
1) 100%=40.83
2) x%=19.23
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%=40.83/19.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.23 is what percent of 40.83

100%/x%=40.83/19.23
(100/x)*x=(40.83/19.23)*x       - we multiply both sides of the equation by x
100=2.1232449297972*x       - we divide both sides of the equation by (2.1232449297972) to get x
100/2.1232449297972=x
47.097722263042=x
x=47.097722263042

now we have:
19.23 is 47.097722263042% of 40.83