30.79 is what percent of 232.78 - 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 232.78 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 232.78, so we can write it down as 100%=232.78.
4. We know, that x% equals 30.79 of the output value, so we can write it down as x%=30.79.
5. Now we have two simple equations:
1) 100%=232.78
2) x%=30.79
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%=232.78/30.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.79 is what percent of 232.78

100%/x%=232.78/30.79
(100/x)*x=(232.78/30.79)*x       - we multiply both sides of the equation by x
100=7.5602468333875*x       - we divide both sides of the equation by (7.5602468333875) to get x
100/7.5602468333875=x
13.227081364378=x
x=13.227081364378

now we have:
30.79 is 13.227081364378% of 232.78