What is 12.92 percent of 2945 - 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 2945 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 2945 is 100%, so we can write it down as 2945=100%.
4. We know, that x is 12.92% of the output value, so we can write it down as x=12.92%.
5. Now we have two simple equations:
1) 2945=100%
2) x=12.92%
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:
2945/x=100%/12.92%
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 12.92% of 2945

2945/x=100/12.92
(2945/x)*x=(100/12.92)*x       - we multiply both sides of the equation by x
2945=7.7399380804954*x       - we divide both sides of the equation by (7.7399380804954) to get x
2945/7.7399380804954=x
380.494=x
x=380.494

now we have:
12.92% of 2945=380.494