505.5 is what percent of 682.5 - 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 682.5 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 682.5, so we can write it down as 100%=682.5.
4. We know, that x% equals 505.5 of the output value, so we can write it down as x%=505.5.
5. Now we have two simple equations:
1) 100%=682.5
2) x%=505.5
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%=682.5/505.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 505.5 is what percent of 682.5

100%/x%=682.5/505.5
(100/x)*x=(682.5/505.5)*x       - we multiply both sides of the equation by x
100=1.3501483679525*x       - we divide both sides of the equation by (1.3501483679525) to get x
100/1.3501483679525=x
74.065934065934=x
x=74.065934065934

now we have:
505.5 is 74.065934065934% of 682.5