416.24 is what percent of 774.95 - 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 774.95 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 774.95, so we can write it down as 100%=774.95.
4. We know, that x% equals 416.24 of the output value, so we can write it down as x%=416.24.
5. Now we have two simple equations:
1) 100%=774.95
2) x%=416.24
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%=774.95/416.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 416.24 is what percent of 774.95

100%/x%=774.95/416.24
(100/x)*x=(774.95/416.24)*x       - we multiply both sides of the equation by x
100=1.8617864693446*x       - we divide both sides of the equation by (1.8617864693446) to get x
100/1.8617864693446=x
53.711852377573=x
x=53.711852377573

now we have:
416.24 is 53.711852377573% of 774.95