What is 312 percent of 13 - 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 13 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 13 is 100%, so we can write it down as 13=100%.
4. We know, that x is 312% of the output value, so we can write it down as x=312%.
5. Now we have two simple equations:
1) 13=100%
2) x=312%
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:
13/x=100%/312%
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 312% of 13

13/x=100/312
(13/x)*x=(100/312)*x       - we multiply both sides of the equation by x
13=0.320512820513*x       - we divide both sides of the equation by (0.320512820513) to get x
13/0.320512820513=x
40.56=x
x=40.56

now we have:
312% of 13=40.56