11.62 is what percent of 390.4 - 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 390.4 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 390.4, so we can write it down as 100%=390.4.
4. We know, that x% equals 11.62 of the output value, so we can write it down as x%=11.62.
5. Now we have two simple equations:
1) 100%=390.4
2) x%=11.62
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%=390.4/11.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.62 is what percent of 390.4

100%/x%=390.4/11.62
(100/x)*x=(390.4/11.62)*x       - we multiply both sides of the equation by x
100=33.597246127367*x       - we divide both sides of the equation by (33.597246127367) to get x
100/33.597246127367=x
2.9764344262295=x
x=2.9764344262295

now we have:
11.62 is 2.9764344262295% of 390.4