What is 0.11142857142857 percent of 29 - 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 29 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 29 is 100%, so we can write it down as 29=100%.
4. We know, that x is 0.11142857142857% of the output value, so we can write it down as x=0.11142857142857%.
5. Now we have two simple equations:
1) 29=100%
2) x=0.11142857142857%
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:
29/x=100%/0.11142857142857%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 0.11142857142857% of 29

29/x=100/0.11142857142857
(29/x)*x=(100/0.11142857142857)*x       - we multiply both sides of the equation by x
29=897.43589743591*x       - we divide both sides of the equation by (897.43589743591) to get x
29/897.43589743591=x
0.032314285714285=x
x=0.032314285714285

now we have:
0.11142857142857% of 29=0.032314285714285