3359.2 is what percent of 12300 - 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 12300 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 12300, so we can write it down as 100%=12300.
4. We know, that x% equals 3359.2 of the output value, so we can write it down as x%=3359.2.
5. Now we have two simple equations:
1) 100%=12300
2) x%=3359.2
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%=12300/3359.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3359.2 is what percent of 12300

100%/x%=12300/3359.2
(100/x)*x=(12300/3359.2)*x       - we multiply both sides of the equation by x
100=3.6615860919266*x       - we divide both sides of the equation by (3.6615860919266) to get x
100/3.6615860919266=x
27.310569105691=x
x=27.310569105691

now we have:
3359.2 is 27.310569105691% of 12300