29 is what percent of 159 - 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 159 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 159, so we can write it down as 100%=159.
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%=159
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%=159/29
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 159

100%/x%=159/29
(100/x)*x=(159/29)*x       - we multiply both sides of the equation by x
100=5.4827586206897*x       - we divide both sides of the equation by (5.4827586206897) to get x
100/5.4827586206897=x
18.238993710692=x
x=18.238993710692

now we have:
29 is 18.238993710692% of 159