41.3 is what percent of 319.9 - 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 319.9 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 319.9, so we can write it down as 100%=319.9.
4. We know, that x% equals 41.3 of the output value, so we can write it down as x%=41.3.
5. Now we have two simple equations:
1) 100%=319.9
2) x%=41.3
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%=319.9/41.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.3 is what percent of 319.9

100%/x%=319.9/41.3
(100/x)*x=(319.9/41.3)*x       - we multiply both sides of the equation by x
100=7.7457627118644*x       - we divide both sides of the equation by (7.7457627118644) to get x
100/7.7457627118644=x
12.910284463895=x
x=12.910284463895

now we have:
41.3 is 12.910284463895% of 319.9