29 is what percent of 417 - 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 417 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 417, so we can write it down as 100%=417.
4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.
5. Now we have two simple equations:
1) 100%=417
2) x%=29
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%=417/29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29 is what percent of 417

100%/x%=417/29
(100/x)*x=(417/29)*x       - we multiply both sides of the equation by x
100=14.379310344828*x       - we divide both sides of the equation by (14.379310344828) to get x
100/14.379310344828=x
6.9544364508393=x
x=6.9544364508393

now we have:
29 is 6.9544364508393% of 417