331.2 is what percent of 1081.4 - 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 1081.4 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 1081.4, so we can write it down as 100%=1081.4.
4. We know, that x% equals 331.2 of the output value, so we can write it down as x%=331.2.
5. Now we have two simple equations:
1) 100%=1081.4
2) x%=331.2
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%=1081.4/331.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 331.2 is what percent of 1081.4

100%/x%=1081.4/331.2
(100/x)*x=(1081.4/331.2)*x       - we multiply both sides of the equation by x
100=3.2650966183575*x       - we divide both sides of the equation by (3.2650966183575) to get x
100/3.2650966183575=x
30.626965045312=x
x=30.626965045312

now we have:
331.2 is 30.626965045312% of 1081.4