34.28 is what percent of 440.58 - 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 440.58 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 440.58, so we can write it down as 100%=440.58.
4. We know, that x% equals 34.28 of the output value, so we can write it down as x%=34.28.
5. Now we have two simple equations:
1) 100%=440.58
2) x%=34.28
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%=440.58/34.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.28 is what percent of 440.58

100%/x%=440.58/34.28
(100/x)*x=(440.58/34.28)*x       - we multiply both sides of the equation by x
100=12.852392065344*x       - we divide both sides of the equation by (12.852392065344) to get x
100/12.852392065344=x
7.7806527758863=x
x=7.7806527758863

now we have:
34.28 is 7.7806527758863% of 440.58