315.9 is what percent of 470 - 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 470 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 470, so we can write it down as 100%=470.
4. We know, that x% equals 315.9 of the output value, so we can write it down as x%=315.9.
5. Now we have two simple equations:
1) 100%=470
2) x%=315.9
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%=470/315.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 315.9 is what percent of 470

100%/x%=470/315.9
(100/x)*x=(470/315.9)*x       - we multiply both sides of the equation by x
100=1.4878125989237*x       - we divide both sides of the equation by (1.4878125989237) to get x
100/1.4878125989237=x
67.212765957447=x
x=67.212765957447

now we have:
315.9 is 67.212765957447% of 470