29.34 is what percent of 1033.36 - 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 1033.36 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 1033.36, so we can write it down as 100%=1033.36.
4. We know, that x% equals 29.34 of the output value, so we can write it down as x%=29.34.
5. Now we have two simple equations:
1) 100%=1033.36
2) x%=29.34
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%=1033.36/29.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.34 is what percent of 1033.36

100%/x%=1033.36/29.34
(100/x)*x=(1033.36/29.34)*x       - we multiply both sides of the equation by x
100=35.220177232447*x       - we divide both sides of the equation by (35.220177232447) to get x
100/35.220177232447=x
2.8392815669273=x
x=2.8392815669273

now we have:
29.34 is 2.8392815669273% of 1033.36