439.46 is what percent of 8427.66 - 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 8427.66 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 8427.66, so we can write it down as 100%=8427.66.
4. We know, that x% equals 439.46 of the output value, so we can write it down as x%=439.46.
5. Now we have two simple equations:
1) 100%=8427.66
2) x%=439.46
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%=8427.66/439.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 439.46 is what percent of 8427.66

100%/x%=8427.66/439.46
(100/x)*x=(8427.66/439.46)*x       - we multiply both sides of the equation by x
100=19.177308514996*x       - we divide both sides of the equation by (19.177308514996) to get x
100/19.177308514996=x
5.2144960760164=x
x=5.2144960760164

now we have:
439.46 is 5.2144960760164% of 8427.66