508.65 is what percent of 733 - 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 733 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 733, so we can write it down as 100%=733.
4. We know, that x% equals 508.65 of the output value, so we can write it down as x%=508.65.
5. Now we have two simple equations:
1) 100%=733
2) x%=508.65
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%=733/508.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 508.65 is what percent of 733

100%/x%=733/508.65
(100/x)*x=(733/508.65)*x       - we multiply both sides of the equation by x
100=1.44106949769*x       - we divide both sides of the equation by (1.44106949769) to get x
100/1.44106949769=x
69.392905866303=x
x=69.392905866303

now we have:
508.65 is 69.392905866303% of 733