508.95 is what percent of 720.75 - 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 720.75 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 720.75, so we can write it down as 100%=720.75.
4. We know, that x% equals 508.95 of the output value, so we can write it down as x%=508.95.
5. Now we have two simple equations:
1) 100%=720.75
2) x%=508.95
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%=720.75/508.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 508.95 is what percent of 720.75

100%/x%=720.75/508.95
(100/x)*x=(720.75/508.95)*x       - we multiply both sides of the equation by x
100=1.4161508989095*x       - we divide both sides of the equation by (1.4161508989095) to get x
100/1.4161508989095=x
70.613943808533=x
x=70.613943808533

now we have:
508.95 is 70.613943808533% of 720.75