464.42 is what percent of 507 - 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 507 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 507, so we can write it down as 100%=507.
4. We know, that x% equals 464.42 of the output value, so we can write it down as x%=464.42.
5. Now we have two simple equations:
1) 100%=507
2) x%=464.42
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%=507/464.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 464.42 is what percent of 507

100%/x%=507/464.42
(100/x)*x=(507/464.42)*x       - we multiply both sides of the equation by x
100=1.0916842513242*x       - we divide both sides of the equation by (1.0916842513242) to get x
100/1.0916842513242=x
91.60157790927=x
x=91.60157790927

now we have:
464.42 is 91.60157790927% of 507