18.79 is what percent of 307.79 - 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 307.79 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 307.79, so we can write it down as 100%=307.79.
4. We know, that x% equals 18.79 of the output value, so we can write it down as x%=18.79.
5. Now we have two simple equations:
1) 100%=307.79
2) x%=18.79
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%=307.79/18.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.79 is what percent of 307.79

100%/x%=307.79/18.79
(100/x)*x=(307.79/18.79)*x       - we multiply both sides of the equation by x
100=16.380521554018*x       - we divide both sides of the equation by (16.380521554018) to get x
100/16.380521554018=x
6.1048117222782=x
x=6.1048117222782

now we have:
18.79 is 6.1048117222782% of 307.79