What is 312 percent of 38.5 - 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 38.5 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 38.5 is 100%, so we can write it down as 38.5=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) 38.5=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:
38.5/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 38.5

38.5/x=100/312
(38.5/x)*x=(100/312)*x       - we multiply both sides of the equation by x
38.5=0.32051282051282*x       - we divide both sides of the equation by (0.32051282051282) to get x
38.5/0.32051282051282=x
120.12=x
x=120.12

now we have:
312% of 38.5=120.12