12 is what percent of 3531 - 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 3531 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 3531, so we can write it down as 100%=3531.
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%=3531
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%=3531/12
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 3531

100%/x%=3531/12
(100/x)*x=(3531/12)*x       - we multiply both sides of the equation by x
100=294.25*x       - we divide both sides of the equation by (294.25) to get x
100/294.25=x
0.33984706881903=x
x=0.33984706881903

now we have:
12 is 0.33984706881903% of 3531