12 is what percent of 3843 - 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 3843 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 3843, so we can write it down as 100%=3843.
4. We know, that x% equals 12 of the output value, so we can write it down as x%=12.
5. Now we have two simple equations:
1) 100%=3843
2) x%=12
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%=3843/12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12 is what percent of 3843

100%/x%=3843/12
(100/x)*x=(3843/12)*x       - we multiply both sides of the equation by x
100=320.25*x       - we divide both sides of the equation by (320.25) to get x
100/320.25=x
0.31225604996097=x
x=0.31225604996097

now we have:
12 is 0.31225604996097% of 3843