46.2 is what percent of 12183.88 - 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 12183.88 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 12183.88, so we can write it down as 100%=12183.88.
4. We know, that x% equals 46.2 of the output value, so we can write it down as x%=46.2.
5. Now we have two simple equations:
1) 100%=12183.88
2) x%=46.2
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%=12183.88/46.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.2 is what percent of 12183.88

100%/x%=12183.88/46.2
(100/x)*x=(12183.88/46.2)*x       - we multiply both sides of the equation by x
100=263.72034632035*x       - we divide both sides of the equation by (263.72034632035) to get x
100/263.72034632035=x
0.3791895520967=x
x=0.3791895520967

now we have:
46.2 is 0.3791895520967% of 12183.88