29 is what percent of 6834 - 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 6834 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 6834, so we can write it down as 100%=6834.
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%=6834
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%=6834/29
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 6834

100%/x%=6834/29
(100/x)*x=(6834/29)*x       - we multiply both sides of the equation by x
100=235.65517241379*x       - we divide both sides of the equation by (235.65517241379) to get x
100/235.65517241379=x
0.42434884401522=x
x=0.42434884401522

now we have:
29 is 0.42434884401522% of 6834