419.25 is what percent of 3319.26 - 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 3319.26 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 3319.26, so we can write it down as 100%=3319.26.
4. We know, that x% equals 419.25 of the output value, so we can write it down as x%=419.25.
5. Now we have two simple equations:
1) 100%=3319.26
2) x%=419.25
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%=3319.26/419.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 419.25 is what percent of 3319.26

100%/x%=3319.26/419.25
(100/x)*x=(3319.26/419.25)*x       - we multiply both sides of the equation by x
100=7.917137745975*x       - we divide both sides of the equation by (7.917137745975) to get x
100/7.917137745975=x
12.630827353085=x
x=12.630827353085

now we have:
419.25 is 12.630827353085% of 3319.26