2830.4 is what 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 100% equals 29, so we can write it down as 100%=29.
4. We know, that x% equals 2830.4 of the output value, so we can write it down as x%=2830.4.
5. Now we have two simple equations:
1) 100%=29
2) x%=2830.4
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%=29/2830.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2830.4 is what percent of 29

100%/x%=29/2830.4
(100/x)*x=(29/2830.4)*x       - we multiply both sides of the equation by x
100=0.010245901639344*x       - we divide both sides of the equation by (0.010245901639344) to get x
100/0.010245901639344=x
9760=x
x=9760

now we have:
2830.4 is 9760% of 29