23.44 is what percent of 390.66 - 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 390.66 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 390.66, so we can write it down as 100%=390.66.
4. We know, that x% equals 23.44 of the output value, so we can write it down as x%=23.44.
5. Now we have two simple equations:
1) 100%=390.66
2) x%=23.44
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%=390.66/23.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.44 is what percent of 390.66

100%/x%=390.66/23.44
(100/x)*x=(390.66/23.44)*x       - we multiply both sides of the equation by x
100=16.66638225256*x       - we divide both sides of the equation by (16.66638225256) to get x
100/16.66638225256=x
6.0001023908258=x
x=6.0001023908258

now we have:
23.44 is 6.0001023908258% of 390.66