34 is what percent of 409 - 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 409 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 409, so we can write it down as 100%=409.
4. We know, that x% equals 34 of the output value, so we can write it down as x%=34.
5. Now we have two simple equations:
1) 100%=409
2) x%=34
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%=409/34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34 is what percent of 409

100%/x%=409/34
(100/x)*x=(409/34)*x       - we multiply both sides of the equation by x
100=12.029411764706*x       - we divide both sides of the equation by (12.029411764706) to get x
100/12.029411764706=x
8.3129584352078=x
x=8.3129584352078

now we have:
34 is 8.3129584352078% of 409