313.8 is what percent of 831 - 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 831 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 831, so we can write it down as 100%=831.
4. We know, that x% equals 313.8 of the output value, so we can write it down as x%=313.8.
5. Now we have two simple equations:
1) 100%=831
2) x%=313.8
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%=831/313.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 313.8 is what percent of 831

100%/x%=831/313.8
(100/x)*x=(831/313.8)*x       - we multiply both sides of the equation by x
100=2.6481835564054*x       - we divide both sides of the equation by (2.6481835564054) to get x
100/2.6481835564054=x
37.761732851986=x
x=37.761732851986

now we have:
313.8 is 37.761732851986% of 831