8.44 is what percent of 29.2 - 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 29.2 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 29.2, so we can write it down as 100%=29.2.
4. We know, that x% equals 8.44 of the output value, so we can write it down as x%=8.44.
5. Now we have two simple equations:
1) 100%=29.2
2) x%=8.44
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%=29.2/8.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.44 is what percent of 29.2

100%/x%=29.2/8.44
(100/x)*x=(29.2/8.44)*x       - we multiply both sides of the equation by x
100=3.4597156398104*x       - we divide both sides of the equation by (3.4597156398104) to get x
100/3.4597156398104=x
28.904109589041=x
x=28.904109589041

now we have:
8.44 is 28.904109589041% of 29.2