29 is what percent of 6556 - 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 6556 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 6556, so we can write it down as 100%=6556.
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%=6556
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%=6556/29
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 6556

100%/x%=6556/29
(100/x)*x=(6556/29)*x       - we multiply both sides of the equation by x
100=226.06896551724*x       - we divide both sides of the equation by (226.06896551724) to get x
100/226.06896551724=x
0.44234289200732=x
x=0.44234289200732

now we have:
29 is 0.44234289200732% of 6556