419.84 is what percent of 3137.16 - 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 3137.16 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 3137.16, so we can write it down as 100%=3137.16.
4. We know, that x% equals 419.84 of the output value, so we can write it down as x%=419.84.
5. Now we have two simple equations:
1) 100%=3137.16
2) x%=419.84
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%=3137.16/419.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 419.84 is what percent of 3137.16

100%/x%=3137.16/419.84
(100/x)*x=(3137.16/419.84)*x       - we multiply both sides of the equation by x
100=7.472275152439*x       - we divide both sides of the equation by (7.472275152439) to get x
100/7.472275152439=x
13.382804829846=x
x=13.382804829846

now we have:
419.84 is 13.382804829846% of 3137.16