508.7 is what percent of 690 - 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 690 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 690, so we can write it down as 100%=690.
4. We know, that x% equals 508.7 of the output value, so we can write it down as x%=508.7.
5. Now we have two simple equations:
1) 100%=690
2) x%=508.7
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%=690/508.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 508.7 is what percent of 690

100%/x%=690/508.7
(100/x)*x=(690/508.7)*x       - we multiply both sides of the equation by x
100=1.3563986632593*x       - we divide both sides of the equation by (1.3563986632593) to get x
100/1.3563986632593=x
73.724637681159=x
x=73.724637681159

now we have:
508.7 is 73.724637681159% of 690