29 is what percent of 7.9 - 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 7.9 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 7.9, so we can write it down as 100%=7.9.
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%=7.9
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%=7.9/29
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 7.9

100%/x%=7.9/29
(100/x)*x=(7.9/29)*x       - we multiply both sides of the equation by x
100=0.27241379310345*x       - we divide both sides of the equation by (0.27241379310345) to get x
100/0.27241379310345=x
367.08860759494=x
x=367.08860759494

now we have:
29 is 367.08860759494% of 7.9