442.84 is what percent of 505.5 - 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 505.5 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 505.5, so we can write it down as 100%=505.5.
4. We know, that x% equals 442.84 of the output value, so we can write it down as x%=442.84.
5. Now we have two simple equations:
1) 100%=505.5
2) x%=442.84
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%=505.5/442.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 442.84 is what percent of 505.5

100%/x%=505.5/442.84
(100/x)*x=(505.5/442.84)*x       - we multiply both sides of the equation by x
100=1.1414957998374*x       - we divide both sides of the equation by (1.1414957998374) to get x
100/1.1414957998374=x
87.604352126607=x
x=87.604352126607

now we have:
442.84 is 87.604352126607% of 505.5