311.8 is what percent of 805.2 - 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 805.2 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 805.2, so we can write it down as 100%=805.2.
4. We know, that x% equals 311.8 of the output value, so we can write it down as x%=311.8.
5. Now we have two simple equations:
1) 100%=805.2
2) x%=311.8
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%=805.2/311.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 311.8 is what percent of 805.2

100%/x%=805.2/311.8
(100/x)*x=(805.2/311.8)*x       - we multiply both sides of the equation by x
100=2.5824246311738*x       - we divide both sides of the equation by (2.5824246311738) to get x
100/2.5824246311738=x
38.723298559364=x
x=38.723298559364

now we have:
311.8 is 38.723298559364% of 805.2