319.8 is what percent of 12795 - 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 12795 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 12795, so we can write it down as 100%=12795.
4. We know, that x% equals 319.8 of the output value, so we can write it down as x%=319.8.
5. Now we have two simple equations:
1) 100%=12795
2) x%=319.8
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%=12795/319.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 319.8 is what percent of 12795

100%/x%=12795/319.8
(100/x)*x=(12795/319.8)*x       - we multiply both sides of the equation by x
100=40.009380863039*x       - we divide both sides of the equation by (40.009380863039) to get x
100/40.009380863039=x
2.4994138335287=x
x=2.4994138335287

now we have:
319.8 is 2.4994138335287% of 12795