29 is what percent of 2138 - 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 2138 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 2138, so we can write it down as 100%=2138.
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%=2138
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%=2138/29
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 2138

100%/x%=2138/29
(100/x)*x=(2138/29)*x       - we multiply both sides of the equation by x
100=73.724137931034*x       - we divide both sides of the equation by (73.724137931034) to get x
100/73.724137931034=x
1.356407857811=x
x=1.356407857811

now we have:
29 is 1.356407857811% of 2138