808.2 is what percent of 4438.7 - 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 4438.7 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 4438.7, so we can write it down as 100%=4438.7.
4. We know, that x% equals 808.2 of the output value, so we can write it down as x%=808.2.
5. Now we have two simple equations:
1) 100%=4438.7
2) x%=808.2
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%=4438.7/808.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 808.2 is what percent of 4438.7

100%/x%=4438.7/808.2
(100/x)*x=(4438.7/808.2)*x       - we multiply both sides of the equation by x
100=5.4920811680277*x       - we divide both sides of the equation by (5.4920811680277) to get x
100/5.4920811680277=x
18.208033883795=x
x=18.208033883795

now we have:
808.2 is 18.208033883795% of 4438.7