12 is what percent of 2349 - 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 2349 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 2349, so we can write it down as 100%=2349.
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%=2349
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%=2349/12
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 2349

100%/x%=2349/12
(100/x)*x=(2349/12)*x       - we multiply both sides of the equation by x
100=195.75*x       - we divide both sides of the equation by (195.75) to get x
100/195.75=x
0.51085568326948=x
x=0.51085568326948

now we have:
12 is 0.51085568326948% of 2349