312.4 is what percent of 720 - 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 720 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 720, so we can write it down as 100%=720.
4. We know, that x% equals 312.4 of the output value, so we can write it down as x%=312.4.
5. Now we have two simple equations:
1) 100%=720
2) x%=312.4
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%=720/312.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 312.4 is what percent of 720

100%/x%=720/312.4
(100/x)*x=(720/312.4)*x       - we multiply both sides of the equation by x
100=2.3047375160051*x       - we divide both sides of the equation by (2.3047375160051) to get x
100/2.3047375160051=x
43.388888888889=x
x=43.388888888889

now we have:
312.4 is 43.388888888889% of 720