What is 12.977 percent of 304.785 - 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 304.785 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 304.785 is 100%, so we can write it down as 304.785=100%.
4. We know, that x is 12.977% of the output value, so we can write it down as x=12.977%.
5. Now we have two simple equations:
1) 304.785=100%
2) x=12.977%
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:
304.785/x=100%/12.977%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 12.977% of 304.785

304.785/x=100/12.977
(304.785/x)*x=(100/12.977)*x       - we multiply both sides of the equation by x
304.785=7.7059412807274*x       - we divide both sides of the equation by (7.7059412807274) to get x
304.785/7.7059412807274=x
39.55194945=x
x=39.55194945

now we have:
12.977% of 304.785=39.55194945