19.51 is what percent of 40.69 - 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 40.69 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 40.69, so we can write it down as 100%=40.69.
4. We know, that x% equals 19.51 of the output value, so we can write it down as x%=19.51.
5. Now we have two simple equations:
1) 100%=40.69
2) x%=19.51
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%=40.69/19.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.51 is what percent of 40.69

100%/x%=40.69/19.51
(100/x)*x=(40.69/19.51)*x       - we multiply both sides of the equation by x
100=2.0855971296771*x       - we divide both sides of the equation by (2.0855971296771) to get x
100/2.0855971296771=x
47.947898746621=x
x=47.947898746621

now we have:
19.51 is 47.947898746621% of 40.69