327.4 is what percent of 768.4 - 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 768.4 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 768.4, so we can write it down as 100%=768.4.
4. We know, that x% equals 327.4 of the output value, so we can write it down as x%=327.4.
5. Now we have two simple equations:
1) 100%=768.4
2) x%=327.4
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%=768.4/327.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 327.4 is what percent of 768.4

100%/x%=768.4/327.4
(100/x)*x=(768.4/327.4)*x       - we multiply both sides of the equation by x
100=2.3469761759316*x       - we divide both sides of the equation by (2.3469761759316) to get x
100/2.3469761759316=x
42.608016657991=x
x=42.608016657991

now we have:
327.4 is 42.608016657991% of 768.4