323.4 is what percent of 1078.6 - 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 1078.6 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 1078.6, so we can write it down as 100%=1078.6.
4. We know, that x% equals 323.4 of the output value, so we can write it down as x%=323.4.
5. Now we have two simple equations:
1) 100%=1078.6
2) x%=323.4
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%=1078.6/323.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 323.4 is what percent of 1078.6

100%/x%=1078.6/323.4
(100/x)*x=(1078.6/323.4)*x       - we multiply both sides of the equation by x
100=3.3351886209029*x       - we divide both sides of the equation by (3.3351886209029) to get x
100/3.3351886209029=x
29.983311700352=x
x=29.983311700352

now we have:
323.4 is 29.983311700352% of 1078.6