12 is what percent of 2974 - 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 2974 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 2974, so we can write it down as 100%=2974.
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%=2974
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%=2974/12
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 2974

100%/x%=2974/12
(100/x)*x=(2974/12)*x       - we multiply both sides of the equation by x
100=247.83333333333*x       - we divide both sides of the equation by (247.83333333333) to get x
100/247.83333333333=x
0.4034969737727=x
x=0.4034969737727

now we have:
12 is 0.4034969737727% of 2974