39 is what percent of 3467 - 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 3467 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 3467, so we can write it down as 100%=3467.
4. We know, that x% equals 39 of the output value, so we can write it down as x%=39.
5. Now we have two simple equations:
1) 100%=3467
2) x%=39
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%=3467/39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39 is what percent of 3467

100%/x%=3467/39
(100/x)*x=(3467/39)*x       - we multiply both sides of the equation by x
100=88.897435897436*x       - we divide both sides of the equation by (88.897435897436) to get x
100/88.897435897436=x
1.1248918373233=x
x=1.1248918373233

now we have:
39 is 1.1248918373233% of 3467